381472728 has 256 divisors, whose sum is σ = 1282176000. Its totient is φ = 91736064.

The previous prime is 381472723. The next prime is 381472759. The reversal of 381472728 is 827274183.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a self number, because there is not a number n which added to its sum of digits gives 381472728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381472723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1203226 + ... + 1203542.

It is an arithmetic number, because the mean of its divisors is an integer number (5008500).

Almost surely, 2^381472728 is an apocalyptic number.

381472728 is a gapful number since it is divisible by the number (38) 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 381472728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641088000).

381472728 is an abundant number, since it is smaller than the sum of its proper divisors (900703272).

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

381472728 is a wasteful number, since it uses less digits than its factorization.

381472728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 390 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 381472728 is about 19531.3268366489. The cubic root of 381472728 is about 725.2501573528.

The spelling of 381472728 in words is "three hundred eighty-one million, four hundred seventy-two thousand, seven hundred twenty-eight".