978428800 has 48 divisors (see below), whose sum is σ = 2417032800. Its totient is φ = 391370240.

The previous prime is 978428791. The next prime is 978428819. The reversal of 978428800 is 8824879.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 149680 + ... + 156079.

It is an arithmetic number, because the mean of its divisors is an integer number (50354850).

Almost surely, 2^978428800 is an apocalyptic number.

It is an amenable number.

978428800 is an abundant number, since it is smaller than the sum of its proper divisors (1438604000).

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

978428800 is a wasteful number, since it uses less digits than its factorization.

978428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305783 (or 305766 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The square root of 978428800 is about 31279.8465469382. The cubic root of 978428800 is about 992.7572694992.

The spelling of 978428800 in words is "nine hundred seventy-eight million, four hundred twenty-eight thousand, eight hundred".