930877728 has 192 divisors, whose sum is σ = 2792361600. Its totient is φ = 268943360.

The previous prime is 930877693. The next prime is 930877769. The reversal of 930877728 is 827778039.

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 31 ways as a sum of consecutive naturals, for example, 3460378 + ... + 3460646.

It is an arithmetic number, because the mean of its divisors is an integer number (14543550).

Almost surely, 2^930877728 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 930877728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396180800).

930877728 is an abundant number, since it is smaller than the sum of its proper divisors (1861483872).

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

930877728 is a wasteful number, since it uses less digits than its factorization.

930877728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The square root of 930877728 is about 30510.2888875212. The cubic root of 930877728 is about 976.4069900760.

The spelling of 930877728 in words is "nine hundred thirty million, eight hundred seventy-seven thousand, seven hundred twenty-eight".