28864800 has 216 divisors, whose sum is σ = 107649360. Its totient is φ = 7257600.

The previous prime is 28864789. The next prime is 28864817. The reversal of 28864800 is 846882.

28864800 is a `hidden beast` number, since 2 + 8 + 8 + 648 + 0 + 0 = 666.

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, 136695 + ... + 136905.

Almost surely, 2^28864800 is an apocalyptic number.

28864800 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 28864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53824680).

28864800 is an abundant number, since it is smaller than the sum of its proper divisors (78784560).

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

28864800 is a wasteful number, since it uses less digits than its factorization.

28864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 28864800 is about 5372.5971373257. The cubic root of 28864800 is about 306.7534935827.

It can be divided in two parts, 288 and 64800, that multiplied together give a square (18662400 = 4320²).

The spelling of 28864800 in words is "twenty-eight million, eight hundred sixty-four thousand, eight hundred".