928401600 has 168 divisors, whose sum is σ = 3481189888. Its totient is φ = 212198400.

The previous prime is 928401599. The next prime is 928401611. The reversal of 928401600 is 6104829.

It is a tau number, because it is divible by the number of its divisors (168).

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

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 23 ways as a sum of consecutive naturals, for example, 19785 + ... + 47415.

Almost surely, 2^928401600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 928401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740594944).

928401600 is an abundant number, since it is smaller than the sum of its proper divisors (2552788288).

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

928401600 is a wasteful number, since it uses less digits than its factorization.

928401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27663 (or 27648 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 928401600 is about 30469.6832933984. The cubic root of 928401600 is about 975.5404761455.

The spelling of 928401600 in words is "nine hundred twenty-eight million, four hundred one thousand, six hundred".