31928040 has 256 divisors, whose sum is σ = 118195200. Its totient is φ = 7630848.

The previous prime is 31928033. The next prime is 31928041. The reversal of 31928040 is 4082913.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31927995 and 31928013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31928041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 679297 + ... + 679343.

It is an arithmetic number, because the mean of its divisors is an integer number (461700).

Almost surely, 2^31928040 is an apocalyptic number.

31928040 is a gapful number since it is divisible by the number (30) 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 31928040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59097600).

31928040 is an abundant number, since it is smaller than the sum of its proper divisors (86267160).

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

31928040 is a wasteful number, since it uses less digits than its factorization.

31928040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 31928040 is about 5650.4902442178. The cubic root of 31928040 is about 317.2420539118.

The spelling of 31928040 in words is "thirty-one million, nine hundred twenty-eight thousand, forty".