33128100 has 54 divisors (see below), whose sum is σ = 103841010. Its totient is φ = 8833920.

The previous prime is 33128093. The next prime is 33128129. The reversal of 33128100 is 182133.

It can be written as a sum of positive squares in 3 ways, for example, as 1115136 + 32012964 = 1056^2 + 5658^2 .

It is a super-2 number, since 2×33128100² = 2194942019220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17505 + ... + 19304.

Almost surely, 2^33128100 is an apocalyptic number.

33128100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33128100 is an abundant number, since it is smaller than the sum of its proper divisors (70712910).

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

33128100 is a wasteful number, since it uses less digits than its factorization.

33128100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36829 (or 36819 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 33128100 is about 5755.7015211006. The cubic root of 33128100 is about 321.1679326266.

The spelling of 33128100 in words is "thirty-three million, one hundred twenty-eight thousand, one hundred".