289381292928 has 384 divisors, whose sum is σ = 1069950420000. Its totient is φ = 76319760384.

The previous prime is 289381292911. The next prime is 289381292929. The reversal of 289381292928 is 829292183982.

289381292928 is a `hidden beast` number, since 2 + 89 + 381 + 2 + 92 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289381292929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2135748 + ... + 2267196.

Almost surely, 2^289381292928 is an apocalyptic number.

289381292928 is a gapful number since it is divisible by the number (28) 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 289381292928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534975210000).

289381292928 is an abundant number, since it is smaller than the sum of its proper divisors (780569127072).

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

289381292928 is a wasteful number, since it uses less digits than its factorization.

289381292928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131499 (or 131474 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 289381292928 in words is "two hundred eighty-nine billion, three hundred eighty-one million, two hundred ninety-two thousand, nine hundred twenty-eight".