33428700 has 90 divisors (see below), whose sum is σ = 108388896. Its totient is φ = 8912160.

The previous prime is 33428693. The next prime is 33428719. The reversal of 33428700 is 782433.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×33428700² = 2234955967380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6037 + ... + 10163.

Almost surely, 2^33428700 is an apocalyptic number.

33428700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33428700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54194448).

33428700 is an abundant number, since it is smaller than the sum of its proper divisors (74960196).

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

33428700 is a wasteful number, since it uses less digits than its factorization.

33428700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 33428700 is about 5781.7557886856. The cubic root of 33428700 is about 322.1364209828.

The spelling of 33428700 in words is "thirty-three million, four hundred twenty-eight thousand, seven hundred".