28764575130720 has 1536 divisors, whose sum is σ = 113610749091840. Its totient is φ = 6030476697600.

The previous prime is 28764575130679. The next prime is 28764575130793. The reversal of 28764575130720 is 2703157546782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 50375788035 + ... + 50375788605.

It is an arithmetic number, because the mean of its divisors is an integer number (73965331440).

Almost surely, 2^{28764575130720} is an apocalyptic number.

28764575130720 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 28764575130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56805374545920).

28764575130720 is an abundant number, since it is smaller than the sum of its proper divisors (84846173961120).

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

28764575130720 is a wasteful number, since it uses less digits than its factorization.

28764575130720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 57.

The spelling of 28764575130720 in words is "twenty-eight trillion, seven hundred sixty-four billion, five hundred seventy-five million, one hundred thirty thousand, seven hundred twenty".