102788928 has 84 divisors (see below), whose sum is σ = 321429888. Its totient is φ = 31146240.

The previous prime is 102788899. The next prime is 102788929. The reversal of 102788928 is 829887201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102788929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1776 + ... + 14447.

Almost surely, 2^102788928 is an apocalyptic number.

102788928 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 102788928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160714944).

102788928 is an abundant number, since it is smaller than the sum of its proper divisors (218640960).

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

102788928 is a wasteful number, since it uses less digits than its factorization.

102788928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16252 (or 16239 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 102788928 is about 10138.4874611551. The cubic root of 102788928 is about 468.4343983316.

The spelling of 102788928 in words is "one hundred two million, seven hundred eighty-eight thousand, nine hundred twenty-eight".