398377728 has 216 divisors, whose sum is σ = 1390884768. Its totient is φ = 107053056.

The previous prime is 398377703. The next prime is 398377729. The reversal of 398377728 is 827773893.

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

It is not an unprimeable number, because it can be changed into a prime (398377729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273450 + ... + 274902.

Almost surely, 2^398377728 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 398377728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695442384).

398377728 is an abundant number, since it is smaller than the sum of its proper divisors (992507040).

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

398377728 is a wasteful number, since it uses less digits than its factorization.

398377728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1482 counting only the distinct ones).

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

The square root of 398377728 is about 19959.4019950499. The cubic root of 398377728 is about 735.8088665625.

The spelling of 398377728 in words is "three hundred ninety-eight million, three hundred seventy-seven thousand, seven hundred twenty-eight".