28146630720 has 224 divisors, whose sum is σ = 101901760128. Its totient is φ = 6520799232.

The previous prime is 28146630691. The next prime is 28146630727. The reversal of 28146630720 is 2703664182.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (28146630727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145827 + ... + 278493.

It is an arithmetic number, because the mean of its divisors is an integer number (454918572).

Almost surely, 2^28146630720 is an apocalyptic number.

28146630720 is a gapful number since it is divisible by the number (20) 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 28146630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50950880064).

28146630720 is an abundant number, since it is smaller than the sum of its proper divisors (73755129408).

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

28146630720 is a wasteful number, since it uses less digits than its factorization.

28146630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132717 (or 132707 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 28146630720 in words is "twenty-eight billion, one hundred forty-six million, six hundred thirty thousand, seven hundred twenty".