33857628 has 72 divisors (see below), whose sum is σ = 93308544. Its totient is φ = 9525600.

The previous prime is 33857617. The next prime is 33857653. The reversal of 33857628 is 82675833.

It is a super-2 number, since 2×33857628² = 2292677947572768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 33857628.

It is a congruent number.

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, 41343 + ... + 42153.

It is an arithmetic number, because the mean of its divisors is an integer number (1295952).

Almost surely, 2^33857628 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 33857628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46654272).

33857628 is an abundant number, since it is smaller than the sum of its proper divisors (59450916).

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

33857628 is a wasteful number, since it uses less digits than its factorization.

33857628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 894 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 33857628 is about 5818.7307894420. The cubic root of 33857628 is about 323.5083612063.

The spelling of 33857628 in words is "thirty-three million, eight hundred fifty-seven thousand, six hundred twenty-eight".