102828667392 has 240 divisors, whose sum is σ = 324621142560. Its totient is φ = 31076352000.

The previous prime is 102828667369. The next prime is 102828667411. The reversal of 102828667392 is 293766828201.

102828667392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102828667392² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20323359 + ... + 20328417.

It is an arithmetic number, because the mean of its divisors is an integer number (1352588094).

Almost surely, 2^102828667392 is an apocalyptic number.

102828667392 is a gapful number since it is divisible by the number (12) 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 102828667392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162310571280).

102828667392 is an abundant number, since it is smaller than the sum of its proper divisors (221792475168).

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

102828667392 is a wasteful number, since it uses less digits than its factorization.

102828667392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 102828667392 in words is "one hundred two billion, eight hundred twenty-eight million, six hundred sixty-seven thousand, three hundred ninety-two".