102728220 has 96 divisors (see below), whose sum is σ = 330290688. Its totient is φ = 23369472.

The previous prime is 102728207. The next prime is 102728221. The reversal of 102728220 is 22827201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102728221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115899 + ... + 116781.

It is an arithmetic number, because the mean of its divisors is an integer number (3440528).

Almost surely, 2^102728220 is an apocalyptic number.

102728220 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 102728220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165145344).

102728220 is an abundant number, since it is smaller than the sum of its proper divisors (227562468).

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

102728220 is a wasteful number, since it uses less digits than its factorization.

102728220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 102728220 is about 10135.4930812467. The cubic root of 102728220 is about 468.3421597466.

The spelling of 102728220 in words is "one hundred two million, seven hundred twenty-eight thousand, two hundred twenty".