85513428 has 288 divisors, whose sum is σ = 305665920. Its totient is φ = 20321280.

The previous prime is 85513427. The next prime is 85513457. The reversal of 85513428 is 82431558.

It is a happy number.

It is a super-2 number, since 2×85513428² = 14625092736622368, which contains 22 as substring.

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 = 85513392 and 85513401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85513423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 756700 + ... + 756812.

It is an arithmetic number, because the mean of its divisors is an integer number (1061340).

Almost surely, 2^85513428 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 85513428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152832960).

85513428 is an abundant number, since it is smaller than the sum of its proper divisors (220152492).

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

85513428 is a wasteful number, since it uses less digits than its factorization.

85513428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 85513428 is about 9247.3470790276. The cubic root of 85513428 is about 440.5664673720.

The spelling of 85513428 in words is "eighty-five million, five hundred thirteen thousand, four hundred twenty-eight".