28416864 has 96 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 8109696.

The previous prime is 28416859. The next prime is 28416881. The reversal of 28416864 is 46861482.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32497 + ... + 33359.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^28416864 is an apocalyptic number.

28416864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28416864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

28416864 is an abundant number, since it is smaller than the sum of its proper divisors (58674336).

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

28416864 is an equidigital number, since it uses as much as digits as its factorization.

28416864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 875 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 28416864 is about 5330.7470395809. The cubic root of 28416864 is about 305.1584377934.

The spelling of 28416864 in words is "twenty-eight million, four hundred sixteen thousand, eight hundred sixty-four".