287538020 has 192 divisors, whose sum is σ = 820592640. Its totient is φ = 81907200.

The previous prime is 287537981. The next prime is 287538029. The reversal of 287538020 is 20835782.

It is a happy number.

It is a super-2 number, since 2×287538020² = 165356225891040800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (287538029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 906902 + ... + 907218.

It is an arithmetic number, because the mean of its divisors is an integer number (4273920).

Almost surely, 2^287538020 is an apocalyptic number.

287538020 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 287538020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410296320).

287538020 is an abundant number, since it is smaller than the sum of its proper divisors (533054620).

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

287538020 is a wasteful number, since it uses less digits than its factorization.

287538020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 287538020 is about 16956.9460693841. The cubic root of 287538020 is about 660.0321533157.

The spelling of 287538020 in words is "two hundred eighty-seven million, five hundred thirty-eight thousand, twenty".