388728 has 24 divisors (see below), whose sum is σ = 1053000. Its totient is φ = 129552.

The previous prime is 388727. The next prime is 388757. The reversal of 388728 is 827883.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×388728² = 302218915968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 388692 and 388701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2628 + ... + 2771.

It is an arithmetic number, because the mean of its divisors is an integer number (43875).

2³⁸⁸⁷²⁸ is an apocalyptic number.

It is an amenable number.

388728 is an abundant number, since it is smaller than the sum of its proper divisors (664272).

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

388728 is a wasteful number, since it uses less digits than its factorization.

388728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5411 (or 5404 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 388728 is about 623.4805530247. The cubic root of 388728 is about 72.9819183339.

The spelling of 388728 in words is "three hundred eighty-eight thousand, seven hundred twenty-eight".