10028769120 has 144 divisors (see below), whose sum is σ = 35711256672. Its totient is φ = 2558054400.

The previous prime is 10028769109. The next prime is 10028769139. The reversal of 10028769120 is 2196782001.

10028769120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 118281 + ... + 184520.

It is an arithmetic number, because the mean of its divisors is an integer number (247994838).

Almost surely, 2^10028769120 is an apocalyptic number.

10028769120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10028769120 is an abundant number, since it is smaller than the sum of its proper divisors (25682487552).

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

10028769120 is a wasteful number, since it uses less digits than its factorization.

10028769120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302845 (or 302834 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10028769120 in words is "ten billion, twenty-eight million, seven hundred sixty-nine thousand, one hundred twenty".