102728032 has 72 divisors (see below), whose sum is σ = 227841768. Its totient is φ = 45534720.

The previous prime is 102728023. The next prime is 102728077. The reversal of 102728032 is 230827201.

It is a super-3 number, since 3×102728032³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 102727988 and 102728006.

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 11 ways as a sum of consecutive naturals, for example, 166188 + ... + 166804.

It is an arithmetic number, because the mean of its divisors is an integer number (3164469).

Almost surely, 2^102728032 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 102728032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113920884).

102728032 is an abundant number, since it is smaller than the sum of its proper divisors (125113736).

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

102728032 is a wasteful number, since it uses less digits than its factorization.

102728032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 102728032 is about 10135.4838069033. The cubic root of 102728032 is about 468.3418740466.

The spelling of 102728032 in words is "one hundred two million, seven hundred twenty-eight thousand, thirty-two".