102662928 has 120 divisors (see below), whose sum is σ = 305635200. Its totient is φ = 32078592.

The previous prime is 102662927. The next prime is 102662941. The reversal of 102662928 is 829266201.

It is a happy number.

102662928 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 629 + 28 = 666.

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 = 102662892 and 102662901.

It is not an unprimeable number, because it can be changed into a prime (102662921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429433 + ... + 429671.

It is an arithmetic number, because the mean of its divisors is an integer number (2546960).

Almost surely, 2^102662928 is an apocalyptic number.

102662928 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 102662928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152817600).

102662928 is an abundant number, since it is smaller than the sum of its proper divisors (202972272).

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

102662928 is a wasteful number, since it uses less digits than its factorization.

102662928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 102662928 is about 10132.2716110456. The cubic root of 102662928 is about 468.2429157510.

The spelling of 102662928 in words is "one hundred two million, six hundred sixty-two thousand, nine hundred twenty-eight".