10028000880 has 400 divisors, whose sum is σ = 37161907200. Its totient is φ = 2498895360.

The previous prime is 10028000819. The next prime is 10028000881. The reversal of 10028000880 is 8800082001.

10028000880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10028000881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9725965 + ... + 9726995.

It is an arithmetic number, because the mean of its divisors is an integer number (92904768).

Almost surely, 2^10028000880 is an apocalyptic number.

10028000880 is a gapful number since it is divisible by the number (10) 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 10028000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18580953600).

10028000880 is an abundant number, since it is smaller than the sum of its proper divisors (27133906320).

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

10028000880 is a wasteful number, since it uses less digits than its factorization.

10028000880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 10028000880 its reverse (8800082001), we get a palindrome (18828082881).

The spelling of 10028000880 in words is "ten billion, twenty-eight million, eight hundred eighty", and thus it is an aban number.