85228920 has 192 divisors, whose sum is σ = 327075840. Its totient is φ = 18835200.

The previous prime is 85228909. The next prime is 85228921. The reversal of 85228920 is 2982258.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85228921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77575 + ... + 78665.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 2^85228920 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 85228920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920).

85228920 is an abundant number, since it is smaller than the sum of its proper divisors (241846920).

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

85228920 is a wasteful number, since it uses less digits than its factorization.

85228920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 85228920 is about 9231.9510397315. The cubic root of 85228920 is about 440.0773280070.

The spelling of 85228920 in words is "eighty-five million, two hundred twenty-eight thousand, nine hundred twenty".