360980928 has 224 divisors, whose sum is σ = 1323563520. Its totient is φ = 93726720.

The previous prime is 360980927. The next prime is 360980993. The reversal of 360980928 is 829089063.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360980923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131700 + ... + 134412.

Almost surely, 2^360980928 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 360980928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661781760).

360980928 is an abundant number, since it is smaller than the sum of its proper divisors (962582592).

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

360980928 is a wasteful number, since it uses less digits than its factorization.

360980928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 360980928 is about 18999.4980986341. The cubic root of 360980928 is about 712.0241964592.

The spelling of 360980928 in words is "three hundred sixty million, nine hundred eighty thousand, nine hundred twenty-eight".