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28861248 = 2631331373
BaseRepresentation
bin110111000011…
…0001101000000
32000022022012010
41232012031000
524342024443
62510332520
7500213403
oct156061500
960268163
1028861248
1115322979
1297ba140
135c96880
143b93d3a
152801733
hex1b86340

28861248 has 112 divisors (see below), whose sum is σ = 85116416. Its totient is φ = 8570880.

The previous prime is 28861241. The next prime is 28861249. The reversal of 28861248 is 84216882.

It is a super-2 number, since 2×288612482 = 1665943272235008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28861241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77190 + ... + 77562.

It is an arithmetic number, because the mean of its divisors is an integer number (759968).

Almost surely, 228861248 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 28861248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42558208).

28861248 is an abundant number, since it is smaller than the sum of its proper divisors (56255168).

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

28861248 is a wasteful number, since it uses less digits than its factorization.

28861248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 422 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 28861248 is about 5372.2665607730. The cubic root of 28861248 is about 306.7409104006.

The spelling of 28861248 in words is "twenty-eight million, eight hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 373 403 416 496 624 744 746 806 832 992 1119 1209 1248 1488 1492 1612 1984 2238 2418 2496 2976 2984 3224 4476 4836 4849 5952 5968 6448 8952 9672 9698 11563 11936 12896 14547 17904 19344 19396 23126 23872 25792 29094 34689 35808 38688 38792 46252 58188 69378 71616 77376 77584 92504 116376 138756 150319 155168 185008 232752 277512 300638 310336 370016 450957 465504 555024 601276 740032 901914 931008 1110048 1202552 1803828 2220096 2405104 3607656 4810208 7215312 9620416 14430624 28861248