387262728 has 64 divisors (see below), whose sum is σ = 1088740800. Its totient is φ = 127526400.

The previous prime is 387262727. The next prime is 387262739. The reversal of 387262728 is 827262783.

387262728 is a `hidden beast` number, since 387 + 262 + 7 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (387262727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7128 + ... + 28728.

It is an arithmetic number, because the mean of its divisors is an integer number (17011575).

Almost surely, 2^387262728 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 387262728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544370400).

387262728 is an abundant number, since it is smaller than the sum of its proper divisors (701478072).

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

387262728 is a wasteful number, since it uses less digits than its factorization.

387262728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21699 (or 21689 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 387262728 is about 19678.9920473585. The cubic root of 387262728 is about 728.9010348476.

The spelling of 387262728 in words is "three hundred eighty-seven million, two hundred sixty-two thousand, seven hundred twenty-eight".