287925120 has 384 divisors, whose sum is σ = 1173032640. Its totient is φ = 63700992.

The previous prime is 287925103. The next prime is 287925167. The reversal of 287925120 is 21529782.

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

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 47 ways as a sum of consecutive naturals, for example, 1491744 + ... + 1491936.

Almost surely, 2^287925120 is an apocalyptic number.

287925120 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 287925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586516320).

287925120 is an abundant number, since it is smaller than the sum of its proper divisors (885107520).

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

287925120 is a wasteful number, since it uses less digits than its factorization.

287925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 287925120 is about 16968.3564318999. The cubic root of 287925120 is about 660.3282114123.

The spelling of 287925120 in words is "two hundred eighty-seven million, nine hundred twenty-five thousand, one hundred twenty".