287938560 has 384 divisors, whose sum is σ = 1144765440. Its totient is φ = 60162048.

The previous prime is 287938523. The next prime is 287938619. The reversal of 287938560 is 65839782.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×287938560² = 165817228669747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2795469 + ... + 2795571.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 2^287938560 is an apocalyptic number.

287938560 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 287938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572382720).

287938560 is an abundant number, since it is smaller than the sum of its proper divisors (856826880).

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

287938560 is a wasteful number, since it uses less digits than its factorization.

287938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 287938560 is about 16968.7524585634. The cubic root of 287938560 is about 660.3384856960.

The spelling of 287938560 in words is "two hundred eighty-seven million, nine hundred thirty-eight thousand, five hundred sixty".