85040928 has 240 divisors, whose sum is σ = 295162560. Its totient is φ = 23514624.

The previous prime is 85040927. The next prime is 85040951. The reversal of 85040928 is 82904058.

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 = 85040892 and 85040901.

It is not an unprimeable number, because it can be changed into a prime (85040927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 780138 + ... + 780246.

It is an arithmetic number, because the mean of its divisors is an integer number (1229844).

Almost surely, 2^85040928 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 85040928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147581280).

85040928 is an abundant number, since it is smaller than the sum of its proper divisors (210121632).

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

85040928 is a wasteful number, since it uses less digits than its factorization.

85040928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

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

The square root of 85040928 is about 9221.7638226101. The cubic root of 85040928 is about 439.7535258706.

The spelling of 85040928 in words is "eighty-five million, forty thousand, nine hundred twenty-eight".