288948312072 has 512 divisors, whose sum is σ = 959990400000. Its totient is φ = 81478172160.

The previous prime is 288948311987. The next prime is 288948312091. The reversal of 288948312072 is 270213849882.

288948312072 is a `hidden beast` number, since 2 + 8 + 89 + 483 + 12 + 0 + 72 = 666.

It is a super-2 number, since 2×288948312072² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 534100122 + ... + 534100662.

It is an arithmetic number, because the mean of its divisors is an integer number (1874981250).

Almost surely, 2^288948312072 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 288948312072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479995200000).

288948312072 is an abundant number, since it is smaller than the sum of its proper divisors (671042087928).

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

288948312072 is an frugal number, since it uses more digits than its factorization.

288948312072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 288948312072 in words is "two hundred eighty-eight billion, nine hundred forty-eight million, three hundred twelve thousand, seventy-two".