28507680 has 96 divisors (see below), whose sum is σ = 99792000. Its totient is φ = 7600896.

The previous prime is 28507663. The next prime is 28507697. The reversal of 28507680 is 8670582.

It is an interprime number because it is at equal distance from previous prime (28507663) and next prime (28507697).

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1021 + ... + 7619.

It is an arithmetic number, because the mean of its divisors is an integer number (1039500).

Almost surely, 2^28507680 is an apocalyptic number.

28507680 is a gapful number since it is divisible by the number (20) 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 28507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49896000).

28507680 is an abundant number, since it is smaller than the sum of its proper divisors (71284320).

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

28507680 is a wasteful number, since it uses less digits than its factorization.

28507680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623 (or 6609 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 28507680 is about 5339.2583754675. The cubic root of 28507680 is about 305.4831721779.

It can be divided in two parts, 285076 and 80, that added together give a square (285156 = 534²).

The spelling of 28507680 in words is "twenty-eight million, five hundred seven thousand, six hundred eighty".