132828480 has 168 divisors, whose sum is σ = 483927912. Its totient is φ = 33325056.

The previous prime is 132828457. The next prime is 132828481. The reversal of 132828480 is 84828231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 68956416 + 63872064 = 8304^2 + 7992^2 .

It is a super-2 number, since 2×132828480² = 35286810198220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132828481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47604 + ... + 50316.

Almost surely, 2^132828480 is an apocalyptic number.

132828480 is a gapful number since it is divisible by the number (10) 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 132828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241963956).

132828480 is an abundant number, since it is smaller than the sum of its proper divisors (351099432).

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

132828480 is a wasteful number, since it uses less digits than its factorization.

132828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 132828480 is about 11525.1238605058. The cubic root of 132828480 is about 510.2273496166.

The spelling of 132828480 in words is "one hundred thirty-two million, eight hundred twenty-eight thousand, four hundred eighty".