102638928 has 180 divisors, whose sum is σ = 329821152. Its totient is φ = 27417600.

The previous prime is 102638909. The next prime is 102638941. The reversal of 102638928 is 829836201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 679653 + ... + 679803.

Almost surely, 2^102638928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102638928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164910576).

102638928 is an abundant number, since it is smaller than the sum of its proper divisors (227182224).

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

102638928 is a wasteful number, since it uses less digits than its factorization.

102638928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 102638928 is about 10131.0872072054. The cubic root of 102638928 is about 468.2064251176.

It can be divided in two parts, 10263 and 8928, that added together give a palindrome (19191).

The spelling of 102638928 in words is "one hundred two million, six hundred thirty-eight thousand, nine hundred twenty-eight".