28932800 has 126 divisors (see below), whose sum is σ = 77810868. Its totient is φ = 10583040.

The previous prime is 28932769. The next prime is 28932863. The reversal of 28932800 is 823982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 17 ways as a sum of consecutive naturals, for example, 270347 + ... + 270453.

Almost surely, 2^28932800 is an apocalyptic number.

28932800 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 28932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38905434).

28932800 is an abundant number, since it is smaller than the sum of its proper divisors (48878068).

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

28932800 is a wasteful number, since it uses less digits than its factorization.

28932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 28932800 is about 5378.9218250501. The cubic root of 28932800 is about 306.9941890414.

The spelling of 28932800 in words is "twenty-eight million, nine hundred thirty-two thousand, eight hundred".