397838628 has 168 divisors, whose sum is σ = 1160503680. Its totient is φ = 118272960.

The previous prime is 397838627. The next prime is 397838629. The reversal of 397838628 is 826838793.

397838628 is a `hidden beast` number, since 3 + 9 + 7 + 8 + 3 + 8 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (397838627) and next prime (397838629).

It is a super-3 number, since 3×397838628³ (a number of 27 digits) contains 333 as substring.

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

Its product of digits (3483648) is a multiple of the sum of its prime divisors (252).

It is not an unprimeable number, because it can be changed into a prime (397838627) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2533926 + ... + 2534082.

It is an arithmetic number, because the mean of its divisors is an integer number (6907760).

Almost surely, 2^397838628 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 397838628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580251840).

397838628 is an abundant number, since it is smaller than the sum of its proper divisors (762665052).

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

397838628 is a wasteful number, since it uses less digits than its factorization.

397838628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

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

The square root of 397838628 is about 19945.8925094868. The cubic root of 397838628 is about 735.4768084859.

The spelling of 397838628 in words is "three hundred ninety-seven million, eight hundred thirty-eight thousand, six hundred twenty-eight".