28875575736 has 512 divisors, whose sum is σ = 100166400000. Its totient is φ = 7681443840.

The previous prime is 28875575723. The next prime is 28875575753. The reversal of 28875575736 is 63757557882.

28875575736 is a `hidden beast` number, since 2 + 8 + 8 + 7 + 5 + 57 + 573 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102759916 + ... + 102760196.

It is an arithmetic number, because the mean of its divisors is an integer number (195637500).

Almost surely, 2^28875575736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28875575736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50083200000).

28875575736 is an abundant number, since it is smaller than the sum of its proper divisors (71290824264).

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

28875575736 is a wasteful number, since it uses less digits than its factorization.

28875575736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 385 counting only the distinct ones).

The product of its digits is 98784000, while the sum is 63.

The spelling of 28875575736 in words is "twenty-eight billion, eight hundred seventy-five million, five hundred seventy-five thousand, seven hundred thirty-six".