28456512 has 112 divisors (see below), whose sum is σ = 88952832. Its totient is φ = 7856640.

The previous prime is 28456507. The next prime is 28456513. The reversal of 28456512 is 21565482.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×28456512² = 1619546150412288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28456513) 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, 41323 + ... + 42005.

Almost surely, 2^28456512 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 28456512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44476416).

28456512 is an abundant number, since it is smaller than the sum of its proper divisors (60496320).

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

28456512 is a wasteful number, since it uses less digits than its factorization.

28456512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 28456512 is about 5334.4645467001. The cubic root of 28456512 is about 305.3002936902.

The spelling of 28456512 in words is "twenty-eight million, four hundred fifty-six thousand, five hundred twelve".