33628248 has 48 divisors (see below), whose sum is σ = 91400400. Its totient is φ = 11169600.

The previous prime is 33628247. The next prime is 33628267. The reversal of 33628248 is 84282633.

33628248 is a `hidden beast` number, since 3 + 3 + 628 + 24 + 8 = 666.

It is a super-2 number, since 2×33628248² = 2261718127099008, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33628247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25198 + ... + 26498.

It is an arithmetic number, because the mean of its divisors is an integer number (1904175).

Almost surely, 2^33628248 is an apocalyptic number.

It is an amenable number.

33628248 is an abundant number, since it is smaller than the sum of its proper divisors (57772152).

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

33628248 is a wasteful number, since it uses less digits than its factorization.

33628248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1665 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 33628248 is about 5798.9868080554. The cubic root of 33628248 is about 322.7761327092.

The spelling of 33628248 in words is "thirty-three million, six hundred twenty-eight thousand, two hundred forty-eight".