28257408 has 96 divisors (see below), whose sum is σ = 85659600. Its totient is φ = 8916480.

The previous prime is 28257391. The next prime is 28257413. The reversal of 28257408 is 80475282.

It is a happy number.

28257408 is a `hidden beast` number, since 2 + 82 + 574 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×28257408² = 1596962213756928, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21243 + ... + 22533.

Almost surely, 2^28257408 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 28257408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42829800).

28257408 is an abundant number, since it is smaller than the sum of its proper divisors (57402192).

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

28257408 is a wasteful number, since it uses less digits than its factorization.

28257408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 28257408 is about 5315.7697467065. The cubic root of 28257408 is about 304.5865867151.

The spelling of 28257408 in words is "twenty-eight million, two hundred fifty-seven thousand, four hundred eight".