33428820 has 48 divisors (see below), whose sum is σ = 94123008. Its totient is φ = 8864640.

The previous prime is 33428807. The next prime is 33428827. The reversal of 33428820 is 2882433.

It is a super-2 number, since 2×33428820² = 2234972013184800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33428827) 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, 10002 + ... + 12918.

It is an arithmetic number, because the mean of its divisors is an integer number (1960896).

Almost surely, 2^33428820 is an apocalyptic number.

33428820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33428820 is an abundant number, since it is smaller than the sum of its proper divisors (60694188).

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

33428820 is a wasteful number, since it uses less digits than its factorization.

33428820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 33428820 is about 5781.7661661468. The cubic root of 33428820 is about 322.1368064432.

The spelling of 33428820 in words is "thirty-three million, four hundred twenty-eight thousand, eight hundred twenty".