83553228 has 96 divisors (see below), whose sum is σ = 240952320. Its totient is φ = 24822720.

The previous prime is 83553199. The next prime is 83553251. The reversal of 83553228 is 82235538.

83553228 is a `hidden beast` number, since 83 + 553 + 2 + 28 = 666.

It is a super-2 number, since 2×83553228² = 13962283818439968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 83553192 and 83553201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62301 + ... + 63627.

It is an arithmetic number, because the mean of its divisors is an integer number (2509920).

Almost surely, 2^83553228 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 83553228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120476160).

83553228 is an abundant number, since it is smaller than the sum of its proper divisors (157399092).

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

83553228 is a wasteful number, since it uses less digits than its factorization.

83553228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1396 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 83553228 is about 9140.7454838213. The cubic root of 83553228 is about 437.1740863063.

The spelling of 83553228 in words is "eighty-three million, five hundred fifty-three thousand, two hundred twenty-eight".