85553028 has 72 divisors (see below), whose sum is σ = 242336640. Its totient is φ = 25220160.

The previous prime is 85553023. The next prime is 85553033. The reversal of 85553028 is 82035558.

85553028 is a `hidden beast` number, since 85 + 553 + 0 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (85553023) and next prime (85553033).

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 = 85552983 and 85553001.

It is not an unprimeable number, because it can be changed into a prime (85553023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11733 + ... + 17571.

Almost surely, 2^85553028 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 85553028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121168320).

85553028 is an abundant number, since it is smaller than the sum of its proper divisors (156783612).

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

85553028 is a wasteful number, since it uses less digits than its factorization.

85553028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 85553028 is about 9249.4879858293. The cubic root of 85553028 is about 440.6344634756.

It can be divided in two parts, 855530 and 28, that added together give a palindrome (855558).

The spelling of 85553028 in words is "eighty-five million, five hundred fifty-three thousand, twenty-eight".