85728930 has 96 divisors (see below), whose sum is σ = 247717440. Its totient is φ = 18910080.

The previous prime is 85728913. The next prime is 85728961. The reversal of 85728930 is 3982758.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41625 + ... + 43635.

It is an arithmetic number, because the mean of its divisors is an integer number (2580390).

Almost surely, 2^85728930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85728930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123858720).

85728930 is an abundant number, since it is smaller than the sum of its proper divisors (161988510).

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

85728930 is a wasteful number, since it uses less digits than its factorization.

85728930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 85728930 is about 9258.9918457681. The cubic root of 85728930 is about 440.9362467678.

The spelling of 85728930 in words is "eighty-five million, seven hundred twenty-eight thousand, nine hundred thirty".