368728407 has 12 divisors (see below), whose sum is σ = 532800840. Its totient is φ = 245729808.

The previous prime is 368728391. The next prime is 368728411. The reversal of 368728407 is 704827863.

It is a happy number.

368728407 is a `hidden beast` number, since 368 + 7 + 284 + 0 + 7 = 666.

It is not a de Polignac number, because 368728407 - 2⁴ = 368728391 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368728427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27333 + ... + 38529.

It is an arithmetic number, because the mean of its divisors is an integer number (44400070).

Almost surely, 2^368728407 is an apocalyptic number.

368728407 is a deficient number, since it is larger than the sum of its proper divisors (164072433).

368728407 is a wasteful number, since it uses less digits than its factorization.

368728407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14862 (or 14859 counting only the distinct ones).

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

The square root of 368728407 is about 19202.3021276096. The cubic root of 368728407 is about 717.0820736683.

The spelling of 368728407 in words is "three hundred sixty-eight million, seven hundred twenty-eight thousand, four hundred seven".