10484228736 has 256 divisors, whose sum is σ = 33086188800. Its totient is φ = 3260252160.

The previous prime is 10484228723. The next prime is 10484228749. The reversal of 10484228736 is 63782248401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10484228723) and next prime (10484228749).

It is a junction number, because it is equal to n+sod(n) for n = 10484228691 and 10484228700.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3257400 + ... + 3260616.

It is an arithmetic number, because the mean of its divisors is an integer number (129242925).

Almost surely, 2^10484228736 is an apocalyptic number.

10484228736 is a gapful number since it is divisible by the number (16) 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 10484228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16543094400).

10484228736 is an abundant number, since it is smaller than the sum of its proper divisors (22601960064).

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

10484228736 is a wasteful number, since it uses less digits than its factorization.

10484228736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 10484228736 in words is "ten billion, four hundred eighty-four million, two hundred twenty-eight thousand, seven hundred thirty-six".