980428800 has 288 divisors, whose sum is σ = 3497588640. Its totient is φ = 240844800.

The previous prime is 980428703. The next prime is 980428807. The reversal of 980428800 is 8824089.

It is a happy number.

It is a super-2 number, since 2×980428800² = 1922481263738880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (980428807) 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, 1996555 + ... + 1997045.

It is an arithmetic number, because the mean of its divisors is an integer number (12144405).

Almost surely, 2^980428800 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 980428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748794320).

980428800 is an abundant number, since it is smaller than the sum of its proper divisors (2517159840).

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

980428800 is a wasteful number, since it uses less digits than its factorization.

980428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 980428800 is about 31311.7996927676. The cubic root of 980428800 is about 993.4332387042.

The spelling of 980428800 in words is "nine hundred eighty million, four hundred twenty-eight thousand, eight hundred".