285769728000 has 1216 divisors, whose sum is σ = 1177758316800. Its totient is φ = 67947724800.

The previous prime is 285769727989. The next prime is 285769728029. The reversal of 285769728000 is 827967582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1216).

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 63 ways as a sum of consecutive naturals, for example, 15040511991 + ... + 15040512009.

Almost surely, 2^285769728000 is an apocalyptic number.

285769728000 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 285769728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588879158400).

285769728000 is an abundant number, since it is smaller than the sum of its proper divisors (891988588800).

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

285769728000 is an frugal number, since it uses more digits than its factorization.

285769728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 285769728000 in words is "two hundred eighty-five billion, seven hundred sixty-nine million, seven hundred twenty-eight thousand".