386974728 has 192 divisors, whose sum is σ = 1251169920. Its totient is φ = 105753600.

The previous prime is 386974717. The next prime is 386974739. The reversal of 386974728 is 827479683.

386974728 is a `hidden beast` number, since 3 + 86 + 97 + 472 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (386974717) and next prime (386974739).

It is a super-2 number, since 2×386974728² = 299498880221347968, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1260351 + ... + 1260657.

It is an arithmetic number, because the mean of its divisors is an integer number (6516510).

Almost surely, 2^386974728 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 386974728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625584960).

386974728 is an abundant number, since it is smaller than the sum of its proper divisors (864195192).

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

386974728 is a wasteful number, since it uses less digits than its factorization.

386974728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 421 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 386974728 is about 19671.6732384411. The cubic root of 386974728 is about 728.7203000448.

The spelling of 386974728 in words is "three hundred eighty-six million, nine hundred seventy-four thousand, seven hundred twenty-eight".