85628040 has 64 divisors (see below), whose sum is σ = 257808960. Its totient is φ = 22752000.

The previous prime is 85628033. The next prime is 85628047. The reversal of 85628040 is 4082658.

It is an interprime number because it is at equal distance from previous prime (85628033) and next prime (85628047).

It is a super-2 number, since 2×85628040² = 14664322468483200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85627992 and 85628010.

It is not an unprimeable number, because it can be changed into a prime (85628047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36915 + ... + 39165.

It is an arithmetic number, because the mean of its divisors is an integer number (4028265).

Almost surely, 2^85628040 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 85628040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128904480).

85628040 is an abundant number, since it is smaller than the sum of its proper divisors (172180920).

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

85628040 is a wasteful number, since it uses less digits than its factorization.

85628040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 85628040 is about 9253.5420245439. The cubic root of 85628040 is about 440.7632070853.

The spelling of 85628040 in words is "eighty-five million, six hundred twenty-eight thousand, forty".