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1028319228 = 2232311575869
BaseRepresentation
bin111101010010101…
…110011111111100
32122122222000210100
4331102232133330
54101222203403
6250012241100
734324366146
oct7522563774
92578860710
101028319228
11488506502
12248470190
13135074121
149a7ddc96
15604272a3
hex3d4ae7fc

1028319228 has 72 divisors (see below), whose sum is σ = 2700763520. Its totient is φ = 329546880.

The previous prime is 1028319203. The next prime is 1028319263. The reversal of 1028319228 is 8229138201.

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

It is a junction number, because it is equal to n+sod(n) for n = 1028319192 and 1028319201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172278 + ... + 178146.

Almost surely, 21028319228 is an apocalyptic number.

1028319228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028319228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350381760).

1028319228 is an abundant number, since it is smaller than the sum of its proper divisors (1672444292).

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

1028319228 is a wasteful number, since it uses less digits than its factorization.

1028319228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6067 (or 6062 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1028319228 is about 32067.4169212302. The cubic root of 1028319228 is about 1009.3520099343.

The spelling of 1028319228 in words is "one billion, twenty-eight million, three hundred nineteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 157 186 279 314 372 471 558 628 942 1116 1413 1884 2826 4867 5652 5869 9734 11738 14601 17607 19468 23476 29202 35214 43803 52821 58404 70428 87606 105642 175212 181939 211284 363878 545817 727756 921433 1091634 1637451 1842866 2183268 2764299 3274902 3685732 5528598 6549804 8292897 11057196 16585794 28564423 33171588 57128846 85693269 114257692 171386538 257079807 342773076 514159614 1028319228