33869628 has 108 divisors (see below), whose sum is σ = 97919640. Its totient is φ = 9839232.

The previous prime is 33869623. The next prime is 33869653. The reversal of 33869628 is 82696833.

It is a super-2 number, since 2×33869628² = 2294303401716768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33869623) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115450 + ... + 115742.

Almost surely, 2^33869628 is an apocalyptic number.

33869628 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33869628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48959820).

33869628 is an abundant number, since it is smaller than the sum of its proper divisors (64050012).

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

33869628 is a wasteful number, since it uses less digits than its factorization.

33869628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 330 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 33869628 is about 5819.7618507977. The cubic root of 33869628 is about 323.5465765413.

It can be divided in two parts, 338696 and 28, that added together give a square (338724 = 582²).

The spelling of 33869628 in words is "thirty-three million, eight hundred sixty-nine thousand, six hundred twenty-eight".