33528080 has 80 divisors (see below), whose sum is σ = 83766960. Its totient is φ = 12435456.

The previous prime is 33528067. The next prime is 33528091. The reversal of 33528080 is 8082533.

It can be written as a sum of positive squares in 8 ways, for example, as 2347024 + 31181056 = 1532^2 + 5584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33528080² = 2248264296972800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120902 + ... + 121178.

It is an arithmetic number, because the mean of its divisors is an integer number (1047087).

Almost surely, 2^33528080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33528080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41883480).

33528080 is an abundant number, since it is smaller than the sum of its proper divisors (50238880).

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

33528080 is a wasteful number, since it uses less digits than its factorization.

33528080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 33528080 is about 5790.3436858273. The cubic root of 33528080 is about 322.4553310326.

The spelling of 33528080 in words is "thirty-three million, five hundred twenty-eight thousand, eighty".