31648128 has 64 divisors (see below), whose sum is σ = 85292400. Its totient is φ = 10395648.

The previous prime is 31648109. The next prime is 31648147. The reversal of 31648128 is 82184613.

It is an interprime number because it is at equal distance from previous prime (31648109) and next prime (31648147).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27468 + ... + 28596.

Almost surely, 2^31648128 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 31648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42646200).

31648128 is an abundant number, since it is smaller than the sum of its proper divisors (53644272).

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

31648128 is a wasteful number, since it uses less digits than its factorization.

31648128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1207 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 31648128 is about 5625.6668938002. Note that the first 3 decimals coincide. The cubic root of 31648128 is about 316.3122481060.

The spelling of 31648128 in words is "thirty-one million, six hundred forty-eight thousand, one hundred twenty-eight".