535880800728 has 768 divisors, whose sum is σ = 1900154880000. Its totient is φ = 139802277888.

The previous prime is 535880800703. The next prime is 535880800747. The reversal of 535880800728 is 827008088535.

It is a happy number.

535880800728 is a `hidden beast` number, since 53 + 588 + 0 + 8 + 0 + 0 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1590150576 + ... + 1590150912.

It is an arithmetic number, because the mean of its divisors is an integer number (2474160000).

Almost surely, 2^535880800728 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 535880800728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950077440000).

535880800728 is an abundant number, since it is smaller than the sum of its proper divisors (1364274079272).

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

535880800728 is a wasteful number, since it uses less digits than its factorization.

535880800728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 535880800728 in words is "five hundred thirty-five billion, eight hundred eighty million, eight hundred thousand, seven hundred twenty-eight".