31728960 has 168 divisors, whose sum is σ = 114117120. Its totient is φ = 8076288.

The previous prime is 31728947. The next prime is 31728971. The reversal of 31728960 is 6982713.

31728960 is a `hidden beast` number, since 317 + 289 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66001 + ... + 66479.

Almost surely, 2^31728960 is an apocalyptic number.

31728960 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 31728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57058560).

31728960 is an abundant number, since it is smaller than the sum of its proper divisors (82388160).

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

31728960 is a wasteful number, since it uses less digits than its factorization.

31728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 31728960 is about 5632.8465272897. The cubic root of 31728960 is about 316.5813152552.

The spelling of 31728960 in words is "thirty-one million, seven hundred twenty-eight thousand, nine hundred sixty".