28624500 has 72 divisors (see below), whose sum is σ = 90314952. Its totient is φ = 7632000.

The previous prime is 28624493. The next prime is 28624513. The reversal of 28624500 is 542682.

It can be written as a sum of positive squares in 4 ways, for example, as 3283344 + 25341156 = 1812^2 + 5034^2 .

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 23 ways as a sum of consecutive naturals, for example, 1320 + ... + 7680.

Almost surely, 2^28624500 is an apocalyptic number.

28624500 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 28624500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45157476).

28624500 is an abundant number, since it is smaller than the sum of its proper divisors (61690452).

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

28624500 is a wasteful number, since it uses less digits than its factorization.

28624500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28624500 is about 5350.1869126228. The cubic root of 28624500 is about 305.8998775347.

The spelling of 28624500 in words is "twenty-eight million, six hundred twenty-four thousand, five hundred".