33528420 has 72 divisors (see below), whose sum is σ = 107695224. Its totient is φ = 8414208.

The previous prime is 33528377. The next prime is 33528463. The reversal of 33528420 is 2482533.

It is an interprime number because it is at equal distance from previous prime (33528377) and next prime (33528463).

It can be written as a sum of positive squares in 4 ways, for example, as 8608356 + 24920064 = 2934^2 + 4992^2 .

It is a super-2 number, since 2×33528420² = 2248309895392800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2419 + ... + 8538.

It is an arithmetic number, because the mean of its divisors is an integer number (1495767).

Almost surely, 2^33528420 is an apocalyptic number.

33528420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33528420 is an abundant number, since it is smaller than the sum of its proper divisors (74166804).

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

33528420 is a wasteful number, since it uses less digits than its factorization.

33528420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10989 (or 10984 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 33528420 is about 5790.3730449773. The cubic root of 33528420 is about 322.4564210089.

The spelling of 33528420 in words is "thirty-three million, five hundred twenty-eight thousand, four hundred twenty".