33828045 has 32 divisors (see below), whose sum is σ = 58413312. Its totient is φ = 16653312.

The previous prime is 33828043. The next prime is 33828049. The reversal of 33828045 is 54082833.

33828045 = 217² + 218² + ... + 481².

It is not a de Polignac number, because 33828045 - 2¹ = 33828043 is a prime.

It is a super-2 number, since 2×33828045² = 2288673257044050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33827997 and 33828015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33828043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12264 + ... + 14766.

It is an arithmetic number, because the mean of its divisors is an integer number (1825416).

Almost surely, 2^33828045 is an apocalyptic number.

It is an amenable number.

33828045 is a deficient number, since it is larger than the sum of its proper divisors (24585267).

33828045 is a wasteful number, since it uses less digits than its factorization.

33828045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 33828045 is about 5816.1881847134. The cubic root of 33828045 is about 323.4141122672.

The spelling of 33828045 in words is "thirty-three million, eight hundred twenty-eight thousand, forty-five".