928400616 has 320 divisors, whose sum is σ = 3139456320. Its totient is φ = 252564480.

The previous prime is 928400609. The next prime is 928400657. The reversal of 928400616 is 616004829.

928400616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 3984436 + ... + 3984668.

It is an arithmetic number, because the mean of its divisors is an integer number (9810801).

Almost surely, 2^928400616 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 928400616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569728160).

928400616 is an abundant number, since it is smaller than the sum of its proper divisors (2211055704).

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

928400616 is a wasteful number, since it uses less digits than its factorization.

928400616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 928400616 is about 30469.6671461964. The cubic root of 928400616 is about 975.5401314914.

The spelling of 928400616 in words is "nine hundred twenty-eight million, four hundred thousand, six hundred sixteen".