28745353728 has 480 divisors, whose sum is σ = 104264160000. Its totient is φ = 7575773184.

The previous prime is 28745353709. The next prime is 28745353751. The reversal of 28745353728 is 82735354782.

28745353728 is a `hidden beast` number, since 2 + 8 + 74 + 535 + 37 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20546373 + ... + 20547771.

It is an arithmetic number, because the mean of its divisors is an integer number (217217000).

Almost surely, 2^28745353728 is an apocalyptic number.

28745353728 is a gapful number since it is divisible by the number (28) 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 28745353728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52132080000).

28745353728 is an abundant number, since it is smaller than the sum of its proper divisors (75518806272).

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

28745353728 is a wasteful number, since it uses less digits than its factorization.

28745353728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1424 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 28745353728 in words is "twenty-eight billion, seven hundred forty-five million, three hundred fifty-three thousand, seven hundred twenty-eight".