31428432 has 160 divisors (see below), whose sum is σ = 108723200. Its totient is φ = 8491392.

The previous prime is 31428409. The next prime is 31428433. The reversal of 31428432 is 23482413.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 31428396 and 31428405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31428433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57183 + ... + 57729.

It is an arithmetic number, because the mean of its divisors is an integer number (679520).

Almost surely, 2^31428432 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 31428432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54361600).

31428432 is an abundant number, since it is smaller than the sum of its proper divisors (77294768).

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

31428432 is a wasteful number, since it uses less digits than its factorization.

31428432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 578 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 31428432 is about 5606.1066704086. The cubic root of 31428432 is about 315.5786190318.

The spelling of 31428432 in words is "thirty-one million, four hundred twenty-eight thousand, four hundred thirty-two".