1397327828688 has 1200 divisors, whose sum is σ = 4906639288320. Its totient is φ = 380087769600.

The previous prime is 1397327828587. The next prime is 1397327828753. The reversal of 1397327828688 is 8868287237931.

1397327828688 is a `hidden beast` number, since 1 + 3 + 9 + 73 + 278 + 286 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (390168576) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10052718123 + ... + 10052718261.

Almost surely, 2^{1397327828688} is an apocalyptic number.

1397327828688 is a gapful number since it is divisible by the number (18) 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 1397327828688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453319644160).

1397327828688 is an abundant number, since it is smaller than the sum of its proper divisors (3509311459632).

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

1397327828688 is a wasteful number, since it uses less digits than its factorization.

1397327828688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 252 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 72.

The spelling of 1397327828688 in words is "one trillion, three hundred ninety-seven billion, three hundred twenty-seven million, eight hundred twenty-eight thousand, six hundred eighty-eight".