31264128 has 96 divisors (see below), whose sum is σ = 102844560. Its totient is φ = 8930304.

The previous prime is 31264127. The next prime is 31264133. The reversal of 31264128 is 82146213.

31264128 is a `hidden beast` number, since 3 + 12 + 641 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31264127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6126 + ... + 10002.

Almost surely, 2^31264128 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 31264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51422280).

31264128 is an abundant number, since it is smaller than the sum of its proper divisors (71580432).

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

31264128 is a wasteful number, since it uses less digits than its factorization.

31264128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3889 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 31264128 is about 5591.4334476948. The cubic root of 31264128 is about 315.0277224279.

The spelling of 31264128 in words is "thirty-one million, two hundred sixty-four thousand, one hundred twenty-eight".