31828080 has 160 divisors (see below), whose sum is σ = 108475200. Its totient is φ = 7684096.

The previous prime is 31828061. The next prime is 31828087. The reversal of 31828080 is 8082813.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31828087) 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, 118186 + ... + 118454.

It is an arithmetic number, because the mean of its divisors is an integer number (677970).

Almost surely, 2^31828080 is an apocalyptic number.

31828080 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 31828080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54237600).

31828080 is an abundant number, since it is smaller than the sum of its proper divisors (76647120).

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

31828080 is a wasteful number, since it uses less digits than its factorization.

31828080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 31828080 is about 5641.6380599964. The cubic root of 31828080 is about 316.9106350146.

The spelling of 31828080 in words is "thirty-one million, eight hundred twenty-eight thousand, eighty".