33428976 has 120 divisors (see below), whose sum is σ = 102542544. Its totient is φ = 9354240.

The previous prime is 33428971. The next prime is 33428977. The reversal of 33428976 is 67982433.

It is a super-2 number, since 2×33428976² = 2234992872817152, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33428971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143356 + ... + 143588.

Almost surely, 2^33428976 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 33428976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51271272).

33428976 is an abundant number, since it is smaller than the sum of its proper divisors (69113568).

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

33428976 is a wasteful number, since it uses less digits than its factorization.

33428976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 33428976 is about 5781.7796568185. The cubic root of 33428976 is about 322.1373075404.

The spelling of 33428976 in words is "thirty-three million, four hundred twenty-eight thousand, nine hundred seventy-six".