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628992 = 2833713
BaseRepresentation
bin10011001100100000000
31011221211000
42121210000
5130111432
621252000
75226540
oct2314400
91157730
10628992
1139a631
12264000
131903b0
14125320
15c657c
hex99900

628992 has 144 divisors (see below), whose sum is σ = 2289280. Its totient is φ = 165888.

The previous prime is 628973. The next prime is 628993. The reversal of 628992 is 299826.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 628992.

It is not an unprimeable number, because it can be changed into a prime (628993) by changing a digit.

628992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48378 + ... + 48390.

2628992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144640).

628992 is an abundant number, since it is smaller than the sum of its proper divisors (1660288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

628992 is a wasteful number, since it uses less digits than its factorization.

628992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 25 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 628992 is about 793.0901588092. The cubic root of 628992 is about 85.6804437831.

The spelling of 628992 in words is "six hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 84 91 96 104 108 112 117 126 128 144 156 168 182 189 192 208 216 224 234 252 256 273 288 312 336 351 364 378 384 416 432 448 468 504 546 576 624 672 702 728 756 768 819 832 864 896 936 1008 1092 1152 1248 1344 1404 1456 1512 1638 1664 1728 1792 1872 2016 2184 2304 2457 2496 2688 2808 2912 3024 3276 3328 3456 3744 4032 4368 4914 4992 5376 5616 5824 6048 6552 6912 7488 8064 8736 9828 9984 11232 11648 12096 13104 14976 16128 17472 19656 22464 23296 24192 26208 29952 34944 39312 44928 48384 52416 69888 78624 89856 104832 157248 209664 314496 628992