398780928 has 320 divisors, whose sum is σ = 1457406720. Its totient is φ = 104841216.

The previous prime is 398780909. The next prime is 398780981. The reversal of 398780928 is 829087893.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257826 + ... + 1258142.

It is an arithmetic number, because the mean of its divisors is an integer number (4554396).

Almost surely, 2^398780928 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 398780928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728703360).

398780928 is an abundant number, since it is smaller than the sum of its proper divisors (1058625792).

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

398780928 is a wasteful number, since it uses less digits than its factorization.

398780928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 398780928 is about 19969.4999436641. The cubic root of 398780928 is about 736.0570214171.

The spelling of 398780928 in words is "three hundred ninety-eight million, seven hundred eighty thousand, nine hundred twenty-eight".