102828288 has 72 divisors (see below), whose sum is σ = 275498496. Its totient is φ = 34048000.

The previous prime is 102828283. The next prime is 102828293. The reversal of 102828288 is 882828201.

It is an interprime number because it is at equal distance from previous prime (102828283) and next prime (102828293).

It is not an unprimeable number, because it can be changed into a prime (102828281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146338 + ... + 147038.

It is an arithmetic number, because the mean of its divisors is an integer number (3826368).

Almost surely, 2^102828288 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 102828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137749248).

102828288 is an abundant number, since it is smaller than the sum of its proper divisors (172670208).

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

102828288 is an equidigital number, since it uses as much as digits as its factorization.

102828288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 102828288 is about 10140.4283933175. The cubic root of 102828288 is about 468.4941817648.

The spelling of 102828288 in words is "one hundred two million, eight hundred twenty-eight thousand, two hundred eighty-eight".