397873728 has 336 divisors, whose sum is σ = 1408419840. Its totient is φ = 109734912.

The previous prime is 397873687. The next prime is 397873733. The reversal of 397873728 is 827378793.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3132801 + ... + 3132927.

Almost surely, 2^397873728 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 397873728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704209920).

397873728 is an abundant number, since it is smaller than the sum of its proper divisors (1010546112).

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

397873728 is a wasteful number, since it uses less digits than its factorization.

397873728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 397873728 is about 19946.7723704864. The cubic root of 397873728 is about 735.4984374204.

The spelling of 397873728 in words is "three hundred ninety-seven million, eight hundred seventy-three thousand, seven hundred twenty-eight".