357728 has 24 divisors (see below), whose sum is σ = 805392. Its totient is φ = 153216.

The previous prime is 357727. The next prime is 357733. The reversal of 357728 is 827753.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 3¹⁰ + 5⁶ + 7 + 7⁵ + 2¹⁸ + 8⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 357694 and 357703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (357727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 575 + ... + 1022.

It is an arithmetic number, because the mean of its divisors is an integer number (33558).

2³⁵⁷⁷²⁸ is an apocalyptic number.

It is an amenable number.

357728 is an abundant number, since it is smaller than the sum of its proper divisors (447664).

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

357728 is a wasteful number, since it uses less digits than its factorization.

357728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1606 counting only the distinct ones).

The product of its digits is 11760, while the sum is 32.

The square root of 357728 is about 598.1036699436. The cubic root of 357728 is about 70.9878971634.

It can be divided in two parts, 35 and 7728, that multiplied together give a triangular number (270480 = T₇₃₅).

The spelling of 357728 in words is "three hundred fifty-seven thousand, seven hundred twenty-eight".