33728500 has 48 divisors (see below), whose sum is σ = 79344720. Its totient is φ = 12451200.

The previous prime is 33728447. The next prime is 33728501. The reversal of 33728500 is 582733.

It can be written as a sum of positive squares in 8 ways, for example, as 12236004 + 21492496 = 3498^2 + 4636^2 .

It is a super-2 number, since 2×33728500² = 2275223424500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33728501) 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, 3906 + ... + 9094.

It is an arithmetic number, because the mean of its divisors is an integer number (1653015).

Almost surely, 2^33728500 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 33728500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39672360).

33728500 is an abundant number, since it is smaller than the sum of its proper divisors (45616220).

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

33728500 is a wasteful number, since it uses less digits than its factorization.

33728500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5221 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 33728500 is about 5807.6242991433. The cubic root of 33728500 is about 323.0965661933.

The spelling of 33728500 in words is "thirty-three million, seven hundred twenty-eight thousand, five hundred".