287978483520 has 672 divisors, whose sum is σ = 1264292160768. Its totient is φ = 60758802432.

The previous prime is 287978483483. The next prime is 287978483537. The reversal of 287978483520 is 25384879782.

287978483520 is a `hidden beast` number, since 2 + 87 + 9 + 78 + 483 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 7055812 + ... + 7096508.

It is an arithmetic number, because the mean of its divisors is an integer number (1881387144).

Almost surely, 2^287978483520 is an apocalyptic number.

287978483520 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 287978483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632146080384).

287978483520 is an abundant number, since it is smaller than the sum of its proper divisors (976313677248).

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

287978483520 is a wasteful number, since it uses less digits than its factorization.

287978483520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40749 (or 40727 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 287978483520 in words is "two hundred eighty-seven billion, nine hundred seventy-eight million, four hundred eighty-three thousand, five hundred twenty".