5879780928 has 280 divisors, whose sum is σ = 20021848704. Its totient is φ = 1671321600.

The previous prime is 5879780903. The next prime is 5879780957. The reversal of 5879780928 is 8290879785.

It is a super-3 number, since 3×5879780928³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11285308 + ... + 11285828.

Almost surely, 2^5879780928 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 5879780928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10010924352).

5879780928 is an abundant number, since it is smaller than the sum of its proper divisors (14142067776).

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

5879780928 is a wasteful number, since it uses less digits than its factorization.

5879780928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The square root of 5879780928 is about 76679.7295769879. The cubic root of 5879780928 is about 1804.9023694198.

The spelling of 5879780928 in words is "five billion, eight hundred seventy-nine million, seven hundred eighty thousand, nine hundred twenty-eight".