288428613669 has 192 divisors, whose sum is σ = 538294356480. Its totient is φ = 149351454720.

The previous prime is 288428613541. The next prime is 288428613673. The reversal of 288428613669 is 966316824882.

288428613669 is a `hidden beast` number, since 2 + 8 + 8 + 4 + 2 + 8 + 613 + 6 + 6 + 9 = 666.

It is not a de Polignac number, because 288428613669 - 2⁷ = 288428613541 is a prime.

It is a super-2 number, since 2×288428613669² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288428613469) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 153991917 + ... + 153993789.

It is an arithmetic number, because the mean of its divisors is an integer number (2803616440).

Almost surely, 2^288428613669 is an apocalyptic number.

It is an amenable number.

288428613669 is a deficient number, since it is larger than the sum of its proper divisors (249865742811).

288428613669 is a wasteful number, since it uses less digits than its factorization.

288428613669 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2000 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 288428613669 in words is "two hundred eighty-eight billion, four hundred twenty-eight million, six hundred thirteen thousand, six hundred sixty-nine".