288463600152 has 216 divisors, whose sum is σ = 984095379540. Its totient is φ = 76078154880.

The previous prime is 288463600151. The next prime is 288463600259. The reversal of 288463600152 is 251006364882.

288463600152 is a `hidden beast` number, since 2 + 8 + 8 + 4 + 636 + 0 + 0 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×288463600152² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 288463600098 and 288463600107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288463600151) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 354327 + ... + 838137.

Almost surely, 2^288463600152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288463600152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492047689770).

288463600152 is an abundant number, since it is smaller than the sum of its proper divisors (695631779388).

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

288463600152 is a wasteful number, since it uses less digits than its factorization.

288463600152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483863 (or 483836 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 288463600152 in words is "two hundred eighty-eight billion, four hundred sixty-three million, six hundred thousand, one hundred fifty-two".