387037728 has 288 divisors, whose sum is σ = 1419005952. Its totient is φ = 97113600.

The previous prime is 387037727. The next prime is 387037811. The reversal of 387037728 is 827730783.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (387037727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687175 + ... + 687737.

It is an arithmetic number, because the mean of its divisors is an integer number (4927104).

Almost surely, 2^387037728 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 387037728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709502976).

387037728 is an abundant number, since it is smaller than the sum of its proper divisors (1031968224).

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

387037728 is a wasteful number, since it uses less digits than its factorization.

387037728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 387037728 is about 19673.2744605467. The cubic root of 387037728 is about 728.7598434434.

The spelling of 387037728 in words is "three hundred eighty-seven million, thirty-seven thousand, seven hundred twenty-eight".