931828896 has 72 divisors (see below), whose sum is σ = 2656390464. Its totient is φ = 309847680.

The previous prime is 931828879. The next prime is 931828903. The reversal of 931828896 is 698828139.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 120375 + ... + 127881.

It is an arithmetic number, because the mean of its divisors is an integer number (36894312).

Almost surely, 2^931828896 is an apocalyptic number.

931828896 is a gapful number since it is divisible by the number (96) 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 931828896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328195232).

931828896 is an abundant number, since it is smaller than the sum of its proper divisors (1724561568).

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

931828896 is a wasteful number, since it uses less digits than its factorization.

931828896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7954 (or 7943 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 931828896 is about 30525.8725673813. The cubic root of 931828896 is about 976.7394400896.

The spelling of 931828896 in words is "nine hundred thirty-one million, eight hundred twenty-eight thousand, eight hundred ninety-six".