1397564928 has 240 divisors, whose sum is σ = 4289725440. Its totient is φ = 454035456.

The previous prime is 1397564911. The next prime is 1397564941. The reversal of 1397564928 is 8294657931.

1397564928 is a `hidden beast` number, since 13 + 97 + 56 + 492 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5847433 + ... + 5847671.

It is an arithmetic number, because the mean of its divisors is an integer number (17873856).

Almost surely, 2^1397564928 is an apocalyptic number.

1397564928 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 1397564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144862720).

1397564928 is an abundant number, since it is smaller than the sum of its proper divisors (2892160512).

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

1397564928 is an frugal number, since it uses more digits than its factorization.

1397564928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 291 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 1397564928 is about 37384.0196875617. The cubic root of 1397564928 is about 1118.0399732679.

The spelling of 1397564928 in words is "one billion, three hundred ninety-seven million, five hundred sixty-four thousand, nine hundred twenty-eight".