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28657152 = 2934691
BaseRepresentation
bin110110101010…
…0011000000000
31222220221020000
41231110120000
524314012102
62502120000
7465403356
oct155243000
958827200
1028657152
11151a35a7
129720000
135c249c4
143b3d7d6
1527b101c
hex1b54600

28657152 has 100 divisors (see below), whose sum is σ = 85657836. Its totient is φ = 9538560.

The previous prime is 28657151. The next prime is 28657163. The reversal of 28657152 is 25175682.

It is a happy number.

28657152 is a `hidden beast` number, since 2 + 86 + 571 + 5 + 2 = 666.

It is a super-2 number, since 2×286571522 = 1642464721502208, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28657151) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41127 + ... + 41817.

Almost surely, 228657152 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 28657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42828918).

28657152 is an abundant number, since it is smaller than the sum of its proper divisors (57000684).

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

28657152 is an frugal number, since it uses more digits than its factorization.

28657152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 696 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 28657152 is about 5353.2375250870. The cubic root of 28657152 is about 306.0161467835.

The spelling of 28657152 in words is "twenty-eight million, six hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 691 768 864 1152 1296 1382 1536 1728 2073 2304 2592 2764 3456 4146 4608 5184 5528 6219 6912 8292 10368 11056 12438 13824 16584 18657 20736 22112 24876 33168 37314 41472 44224 49752 55971 66336 74628 88448 99504 111942 132672 149256 176896 199008 223884 265344 298512 353792 398016 447768 530688 597024 796032 895536 1061376 1194048 1592064 1791072 2388096 3184128 3582144 4776192 7164288 9552384 14328576 28657152