31228416 has 120 divisors (see below), whose sum is σ = 93837744. Its totient is φ = 10368000.

The previous prime is 31228387. The next prime is 31228453. The reversal of 31228416 is 61482213.

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 and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (2304) is a multiple of the sum of its prime divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 31228416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124291 + ... + 124541.

Almost surely, 2^31228416 is an apocalyptic number.

31228416 is a gapful number since it is divisible by the number (36) 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 31228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46918872).

31228416 is an abundant number, since it is smaller than the sum of its proper divisors (62609328).

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

31228416 is an frugal number, since it uses more digits than its factorization.

31228416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 256 counting only the distinct ones).

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

The square root of 31228416 is about 5588.2390786365. The cubic root of 31228416 is about 314.9077280758.

The spelling of 31228416 in words is "thirty-one million, two hundred twenty-eight thousand, four hundred sixteen".