8928020400 has 480 divisors, whose sum is σ = 32547916800. Its totient is φ = 2075504640.

The previous prime is 8928020363. The next prime is 8928020419. The reversal of 8928020400 is 40208298.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53461117 + ... + 53461283.

It is an arithmetic number, because the mean of its divisors is an integer number (67808160).

Almost surely, 2^8928020400 is an apocalyptic number.

8928020400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8928020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16273958400).

8928020400 is an abundant number, since it is smaller than the sum of its proper divisors (23619896400).

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

8928020400 is a wasteful number, since it uses less digits than its factorization.

8928020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 8928020400 is about 94488.2024381880. The cubic root of 8928020400 is about 2074.5236551122.

Adding to 8928020400 its reverse (40208298), we get a palindrome (8968228698).

The spelling of 8928020400 in words is "eight billion, nine hundred twenty-eight million, twenty thousand, four hundred".