28523680 has 72 divisors (see below), whose sum is σ = 70653492. Its totient is φ = 10881024.

The previous prime is 28523669. The next prime is 28523701. The reversal of 28523680 is 8632582.

It can be written as a sum of positive squares in 2 ways, for example, as 27499536 + 1024144 = 5244^2 + 1012^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84472 + ... + 84808.

Almost surely, 2^28523680 is an apocalyptic number.

28523680 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 28523680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35326746).

28523680 is an abundant number, since it is smaller than the sum of its proper divisors (42129812).

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

28523680 is a wasteful number, since it uses less digits than its factorization.

28523680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 28523680 is about 5340.7565007216. The cubic root of 28523680 is about 305.5403125301.

The spelling of 28523680 in words is "twenty-eight million, five hundred twenty-three thousand, six hundred eighty".