33776028 has 132 divisors (see below), whose sum is σ = 104161848. Its totient is φ = 9447840.

The previous prime is 33776023. The next prime is 33776077. The reversal of 33776028 is 82067733.

It is a tau number, because it is divible by the number of its divisors (132).

It is a super-2 number, since 2×33776028² = 2281640134913568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33775983 and 33776001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33776021) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 2598150 + ... + 2598162.

Almost surely, 2^33776028 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 33776028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080924).

33776028 is an abundant number, since it is smaller than the sum of its proper divisors (70385820).

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

33776028 is a wasteful number, since it uses less digits than its factorization.

33776028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 33776028 is about 5811.7147211473. The cubic root of 33776028 is about 323.2482571598.

The spelling of 33776028 in words is "thirty-three million, seven hundred seventy-six thousand, twenty-eight".