287138363400 has 288 divisors, whose sum is σ = 1150507836000. Its totient is φ = 65631565440.

The previous prime is 287138363399. The next prime is 287138363401. The reversal of 287138363400 is 4363831782.

287138363400 is a `hidden beast` number, since 2 + 8 + 7 + 1 + 3 + 8 + 3 + 634 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (287138363399) and next prime (287138363401).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (287138363401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 277990 + ... + 807189.

It is an arithmetic number, because the mean of its divisors is an integer number (3994818875).

Almost surely, 2^287138363400 is an apocalyptic number.

287138363400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

287138363400 is an abundant number, since it is smaller than the sum of its proper divisors (863369472600).

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

287138363400 is a wasteful number, since it uses less digits than its factorization.

287138363400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085218 (or 1085196 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 287138363400 in words is "two hundred eighty-seven billion, one hundred thirty-eight million, three hundred sixty-three thousand, four hundred".