31328000 has 144 divisors (see below), whose sum is σ = 86093280. Its totient is φ = 11264000.

The previous prime is 31327999. The next prime is 31328021. The reversal of 31328000 is 82313.

It is a self number, because there is not a number n which added to its sum of digits gives 31328000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351956 + ... + 352044.

It is an arithmetic number, because the mean of its divisors is an integer number (597870).

Almost surely, 2^31328000 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 31328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43046640).

31328000 is an abundant number, since it is smaller than the sum of its proper divisors (54765280).

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

31328000 is an equidigital number, since it uses as much as digits as its factorization.

31328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 31328000 is about 5597.1421279078. The cubic root of 31328000 is about 315.2421083170.

The spelling of 31328000 in words is "thirty-one million, three hundred twenty-eight thousand".