21928800 has 72 divisors (see below), whose sum is σ = 71386056. Its totient is φ = 5847040.

The previous prime is 21928787. The next prime is 21928801. The reversal of 21928800 is 882912.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21928801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2169 + ... + 6968.

It is an arithmetic number, because the mean of its divisors is an integer number (991473).

Almost surely, 2^21928800 is an apocalyptic number.

21928800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21928800 is an abundant number, since it is smaller than the sum of its proper divisors (49457256).

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

21928800 is a wasteful number, since it uses less digits than its factorization.

21928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9160 (or 9147 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 21928800 is about 4682.8196634079. The cubic root of 21928800 is about 279.9013257747.

The spelling of 21928800 in words is "twenty-one million, nine hundred twenty-eight thousand, eight hundred".