132828584 has 64 divisors (see below), whose sum is σ = 298080000. Its totient is φ = 54286848.

The previous prime is 132828581. The next prime is 132828587. The reversal of 132828584 is 485828231.

It is an interprime number because it is at equal distance from previous prime (132828581) and next prime (132828587).

It is not an unprimeable number, because it can be changed into a prime (132828581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144077 + ... + 144995.

It is an arithmetic number, because the mean of its divisors is an integer number (4657500).

Almost surely, 2^132828584 is an apocalyptic number.

132828584 is a gapful number since it is divisible by the number (14) 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 132828584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149040000).

132828584 is an abundant number, since it is smaller than the sum of its proper divisors (165251416).

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

132828584 is a wasteful number, since it uses less digits than its factorization.

132828584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1046 counting only the distinct ones).

The product of its digits is 122880, while the sum is 41.

The square root of 132828584 is about 11525.1283723870. The cubic root of 132828584 is about 510.2274827799.

The spelling of 132828584 in words is "one hundred thirty-two million, eight hundred twenty-eight thousand, five hundred eighty-four".