10097728740 has 144 divisors (see below), whose sum is σ = 33493299840. Its totient is φ = 2442147840.

The previous prime is 10097728681. The next prime is 10097728759. The reversal of 10097728740 is 4782779001.

It is a happy number.

It is a super-3 number, since 3×10097728740³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 863412 + ... + 875028.

It is an arithmetic number, because the mean of its divisors is an integer number (232592360).

Almost surely, 2^10097728740 is an apocalyptic number.

10097728740 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 10097728740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16746649920).

10097728740 is an abundant number, since it is smaller than the sum of its proper divisors (23395571100).

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

10097728740 is a wasteful number, since it uses less digits than its factorization.

10097728740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12082 (or 12077 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

It can be divided in two parts, 10097 and 728740, that added together give a palindrome (738837).

The spelling of 10097728740 in words is "ten billion, ninety-seven million, seven hundred twenty-eight thousand, seven hundred forty".