287772925440 has 1920 divisors, whose sum is σ = 1290283416576. Its totient is φ = 53202124800.

The previous prime is 287772925393. The next prime is 287772925457. The reversal of 287772925440 is 44529277782.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3467143639 + ... + 3467143721.

Almost surely, 2^287772925440 is an apocalyptic number.

287772925440 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 287772925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645141708288).

287772925440 is an abundant number, since it is smaller than the sum of its proper divisors (1002510491136).

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

287772925440 is a wasteful number, since it uses less digits than its factorization.

287772925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 287772925440 in words is "two hundred eighty-seven billion, seven hundred seventy-two million, nine hundred twenty-five thousand, four hundred forty".