102857328 has 120 divisors (see below), whose sum is σ = 334109568. Its totient is φ = 28930176.

The previous prime is 102857273. The next prime is 102857347. The reversal of 102857328 is 823758201.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 102857292 and 102857301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66775 + ... + 68297.

Almost surely, 2^102857328 is an apocalyptic number.

102857328 is a gapful number since it is divisible by the number (18) 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 102857328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167054784).

102857328 is an abundant number, since it is smaller than the sum of its proper divisors (231252240).

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

102857328 is a wasteful number, since it uses less digits than its factorization.

102857328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 102857328 is about 10141.8601844040. The cubic root of 102857328 is about 468.5382804941.

The spelling of 102857328 in words is "one hundred two million, eight hundred fifty-seven thousand, three hundred twenty-eight".