86051328 has 120 divisors (see below), whose sum is σ = 252525504. Its totient is φ = 26019840.

The previous prime is 86051309. The next prime is 86051347. The reversal of 86051328 is 82315068.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86051309) and next prime (86051347).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185625 + ... + 186087.

Almost surely, 2^86051328 is an apocalyptic number.

86051328 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 86051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126262752).

86051328 is an abundant number, since it is smaller than the sum of its proper divisors (166474176).

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

86051328 is a wasteful number, since it uses less digits than its factorization.

86051328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 86051328 is about 9276.3855029855. The cubic root of 86051328 is about 441.4882935264.

The spelling of 86051328 in words is "eighty-six million, fifty-one thousand, three hundred twenty-eight".