28715757312 has 576 divisors, whose sum is σ = 94187520000. Its totient is φ = 7664025600.

The previous prime is 28715757277. The next prime is 28715757319. The reversal of 28715757312 is 21375751782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (823200) is a multiple of the sum of its prime divisors (294).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28715757319) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 144300189 + ... + 144300387.

It is an arithmetic number, because the mean of its divisors is an integer number (163520000).

Almost surely, 2^28715757312 is an apocalyptic number.

28715757312 is a gapful number since it is divisible by the number (22) 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 28715757312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47093760000).

28715757312 is an abundant number, since it is smaller than the sum of its proper divisors (65471762688).

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

28715757312 is a wasteful number, since it uses less digits than its factorization.

28715757312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its digits is 823200, while the sum is 48.

The spelling of 28715757312 in words is "twenty-eight billion, seven hundred fifteen million, seven hundred fifty-seven thousand, three hundred twelve".