28752624 has 160 divisors (see below), whose sum is σ = 90470400. Its totient is φ = 8709120.

The previous prime is 28752617. The next prime is 28752629. The reversal of 28752624 is 42625782.

28752624 is a `hidden beast` number, since 28 + 7 + 5 + 2 + 624 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (53760) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28752629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254392 + ... + 254504.

It is an arithmetic number, because the mean of its divisors is an integer number (565440).

Almost surely, 2^28752624 is an apocalyptic number.

28752624 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 28752624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45235200).

28752624 is an abundant number, since it is smaller than the sum of its proper divisors (61717776).

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

28752624 is a wasteful number, since it uses less digits than its factorization.

28752624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 28752624 is about 5362.1473310606. The cubic root of 28752624 is about 306.3556035086.

The spelling of 28752624 in words is "twenty-eight million, seven hundred fifty-two thousand, six hundred twenty-four".