360638628 has 72 divisors (see below), whose sum is σ = 989124192. Its totient is φ = 101961216.

The previous prime is 360638627. The next prime is 360638633. The reversal of 360638628 is 826836063.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 360638628.

It is not an unprimeable number, because it can be changed into a prime (360638627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53875 + ... + 60197.

It is an arithmetic number, because the mean of its divisors is an integer number (13737836).

Almost surely, 2^360638628 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 360638628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494562096).

360638628 is an abundant number, since it is smaller than the sum of its proper divisors (628485564).

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

360638628 is a wasteful number, since it uses less digits than its factorization.

360638628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6441 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 360638628 is about 18990.4878294371. The cubic root of 360638628 is about 711.7990664114.

The spelling of 360638628 in words is "three hundred sixty million, six hundred thirty-eight thousand, six hundred twenty-eight".