287800128000 has 2400 divisors, whose sum is σ = 1373646688128. Its totient is φ = 59222016000.

The previous prime is 287800127999. The next prime is 287800128113. The reversal of 287800128000 is 821008782.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2794175949 + ... + 2794176051.

Almost surely, 2^287800128000 is an apocalyptic number.

287800128000 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 287800128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686823344064).

287800128000 is an abundant number, since it is smaller than the sum of its proper divisors (1085846560128).

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

287800128000 is a wasteful number, since it uses less digits than its factorization.

287800128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 287800128000 in words is "two hundred eighty-seven billion, eight hundred million, one hundred twenty-eight thousand".