102728280 has 128 divisors (see below), whose sum is σ = 335378880. Its totient is φ = 25067520.

The previous prime is 102728273. The next prime is 102728291. The reversal of 102728280 is 82827201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74800 + ... + 76160.

Almost surely, 2^102728280 is an apocalyptic number.

102728280 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 102728280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167689440).

102728280 is an abundant number, since it is smaller than the sum of its proper divisors (232650600).

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

102728280 is a wasteful number, since it uses less digits than its factorization.

102728280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 102728280 is about 10135.4960411417. The cubic root of 102728280 is about 468.3422509274.

The spelling of 102728280 in words is "one hundred two million, seven hundred twenty-eight thousand, two hundred eighty".