387667728 has 160 divisors (see below), whose sum is σ = 1346699520. Its totient is φ = 104232960.

The previous prime is 387667727. The next prime is 387667781. The reversal of 387667728 is 827766783.

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 not an unprimeable number, because it can be changed into a prime (387667723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47638 + ... + 55178.

It is an arithmetic number, because the mean of its divisors is an integer number (8416872).

Almost surely, 2^387667728 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 387667728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673349760).

387667728 is an abundant number, since it is smaller than the sum of its proper divisors (959031792).

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

387667728 is a wasteful number, since it uses less digits than its factorization.

387667728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7582 (or 7570 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 387667728 is about 19689.2795195761. The cubic root of 387667728 is about 729.1550416229.

The spelling of 387667728 in words is "three hundred eighty-seven million, six hundred sixty-seven thousand, seven hundred twenty-eight".