102928320 has 420 divisors, whose sum is σ = 421547544. Its totient is φ = 23639040.

The previous prime is 102928313. The next prime is 102928351. The reversal of 102928320 is 23829201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 5417271 + ... + 5417289.

Almost surely, 2^102928320 is an apocalyptic number.

102928320 is a gapful number since it is divisible by the number (10) 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 102928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210773772).

102928320 is an abundant number, since it is smaller than the sum of its proper divisors (318619224).

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

102928320 is a wasteful number, since it uses less digits than its factorization.

102928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102928320 is about 10145.3595303469. The cubic root of 102928320 is about 468.6460505500.

The spelling of 102928320 in words is "one hundred two million, nine hundred twenty-eight thousand, three hundred twenty".