28918800 has 180 divisors, whose sum is σ = 104191620. Its totient is φ = 7418880.

The previous prime is 28918787. The next prime is 28918823. The reversal of 28918800 is 881982.

It can be written as a sum of positive squares in 6 ways, for example, as 2663424 + 26255376 = 1632^2 + 5124^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104262 + ... + 104538.

Almost surely, 2^28918800 is an apocalyptic number.

28918800 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 28918800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52095810).

28918800 is an abundant number, since it is smaller than the sum of its proper divisors (75272820).

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

28918800 is a wasteful number, since it uses less digits than its factorization.

28918800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 28918800 is about 5377.6202915416. The cubic root of 28918800 is about 306.9446649482.

The spelling of 28918800 in words is "twenty-eight million, nine hundred eighteen thousand, eight hundred".