10028591100 has 576 divisors, whose sum is σ = 37527598080. Its totient is φ = 2273356800.

The previous prime is 10028591099. The next prime is 10028591119. The reversal of 10028591100 is 119582001.

10028591100 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 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 191 ways as a sum of consecutive naturals, for example, 36204162 + ... + 36204438.

It is an arithmetic number, because the mean of its divisors is an integer number (65152080).

Almost surely, 2^10028591100 is an apocalyptic number.

10028591100 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 10028591100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18763799040).

10028591100 is an abundant number, since it is smaller than the sum of its proper divisors (27499006980).

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

10028591100 is a wasteful number, since it uses less digits than its factorization.

10028591100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

Subtracting from 10028591100 its reverse (119582001), we obtain a palindrome (9909009099).

The spelling of 10028591100 in words is "ten billion, twenty-eight million, five hundred ninety-one thousand, one hundred".