288752040 has 192 divisors, whose sum is σ = 991186560. Its totient is φ = 75582720.

The previous prime is 288752039. The next prime is 288752071. The reversal of 288752040 is 40257882.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 288751986 and 288752004.

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, 592677 + ... + 593163.

It is an arithmetic number, because the mean of its divisors is an integer number (5162430).

Almost surely, 2^288752040 is an apocalyptic number.

288752040 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 288752040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495593280).

288752040 is an abundant number, since it is smaller than the sum of its proper divisors (702434520).

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

288752040 is a wasteful number, since it uses less digits than its factorization.

288752040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 288752040 is about 16992.7054938288. The cubic root of 288752040 is about 660.9597606808.

The spelling of 288752040 in words is "two hundred eighty-eight million, seven hundred fifty-two thousand, forty".