85760928 has 216 divisors, whose sum is σ = 282338784. Its totient is φ = 24625920.

The previous prime is 85760893. The next prime is 85760933. The reversal of 85760928 is 82906758.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 801451 + ... + 801557.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^85760928 is an apocalyptic number.

85760928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85760928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141169392).

85760928 is an abundant number, since it is smaller than the sum of its proper divisors (196577856).

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

85760928 is a wasteful number, since it uses less digits than its factorization.

85760928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 85760928 is about 9260.7196264653. The cubic root of 85760928 is about 440.9910992080.

The spelling of 85760928 in words is "eighty-five million, seven hundred sixty thousand, nine hundred twenty-eight".