921428524800 has 1080 divisors, whose sum is σ = 4019739164672. Its totient is φ = 203793408000.

The previous prime is 921428524787. The next prime is 921428524867. The reversal of 921428524800 is 8425824129.

921428524800 is a `hidden beast` number, since 9 + 2 + 1 + 42 + 8 + 524 + 80 + 0 = 666.

921428524800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 112488705 + ... + 112496895.

Almost surely, 2^921428524800 is an apocalyptic number.

921428524800 is a gapful number since it is divisible by the number (90) 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 921428524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009869582336).

921428524800 is an abundant number, since it is smaller than the sum of its proper divisors (3098310639872).

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

921428524800 is a wasteful number, since it uses less digits than its factorization.

921428524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 921428524800 in words is "nine hundred twenty-one billion, four hundred twenty-eight million, five hundred twenty-four thousand, eight hundred".