85153728 has 112 divisors (see below), whose sum is σ = 256617216. Its totient is φ = 24668160.

The previous prime is 85153727. The next prime is 85153729. The reversal of 85153728 is 82735158.

It is an interprime number because it is at equal distance from previous prime (85153727) and next prime (85153729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85153727) 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, 47700 + ... + 49452.

Almost surely, 2^85153728 is an apocalyptic number.

85153728 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 85153728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128308608).

85153728 is an abundant number, since it is smaller than the sum of its proper divisors (171463488).

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

85153728 is a wasteful number, since it uses less digits than its factorization.

85153728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1792 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 85153728 is about 9227.8777625194. The cubic root of 85153728 is about 439.9478726125.

The spelling of 85153728 in words is "eighty-five million, one hundred fifty-three thousand, seven hundred twenty-eight".