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28466688 = 29343431
BaseRepresentation
bin110110010010…
…1111000000000
31222120020221210
41230211320000
524241413223
62454050120
7463651155
oct154457000
958506853
1028466688
1115083498
129649940
135b890c3
143ad022c
152774893
hex1b25e00

28466688 has 80 divisors (see below), whose sum is σ = 77780736. Its totient is φ = 9246720.

The previous prime is 28466657. The next prime is 28466689. The reversal of 28466688 is 88666482.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (28466689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65833 + ... + 66263.

Almost surely, 228466688 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 28466688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38890368).

28466688 is an abundant number, since it is smaller than the sum of its proper divisors (49314048).

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

28466688 is an equidigital number, since it uses as much as digits as its factorization.

28466688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 479 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 28466688 is about 5335.4182591433. The cubic root of 28466688 is about 305.3366809741.

The spelling of 28466688 in words is "twenty-eight million, four hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 431 512 516 688 768 862 1032 1293 1376 1536 1724 2064 2586 2752 3448 4128 5172 5504 6896 8256 10344 11008 13792 16512 18533 20688 22016 27584 33024 37066 41376 55168 55599 66048 74132 82752 110336 111198 148264 165504 220672 222396 296528 331008 444792 593056 662016 889584 1186112 1779168 2372224 3558336 4744448 7116672 9488896 14233344 28466688