33828123 has 16 divisors (see below), whose sum is σ = 53326080. Its totient is φ = 18663456.

The previous prime is 33828107. The next prime is 33828131. The reversal of 33828123 is 32182833.

It is not a de Polignac number, because 33828123 - 2⁴ = 33828107 is a prime.

It is a super-2 number, since 2×33828123² = 2288683811406258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33828133) 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, 27165 + ... + 28382.

It is an arithmetic number, because the mean of its divisors is an integer number (3332880).

Almost surely, 2^33828123 is an apocalyptic number.

33828123 is a deficient number, since it is larger than the sum of its proper divisors (19497957).

33828123 is a wasteful number, since it uses less digits than its factorization.

33828123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55586.

The product of its digits is 6912, while the sum is 30.

The square root of 33828123 is about 5816.1948901322. The cubic root of 33828123 is about 323.4143608408.

The spelling of 33828123 in words is "thirty-three million, eight hundred twenty-eight thousand, one hundred twenty-three".