158084828928 has 576 divisors, whose sum is σ = 547662165120. Its totient is φ = 44526993408.

The previous prime is 158084828897. The next prime is 158084828933. The reversal of 158084828928 is 829828480851.

158084828928 is a `hidden beast` number, since 1 + 58 + 0 + 8 + 482 + 89 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56518026 + ... + 56520822.

It is an arithmetic number, because the mean of its divisors is an integer number (950802370).

Almost surely, 2^158084828928 is an apocalyptic number.

158084828928 is a gapful number since it is divisible by the number (18) 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 158084828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273831082560).

158084828928 is an abundant number, since it is smaller than the sum of its proper divisors (389577336192).

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

158084828928 is a wasteful number, since it uses less digits than its factorization.

158084828928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 63.

The spelling of 158084828928 in words is "one hundred fifty-eight billion, eighty-four million, eight hundred twenty-eight thousand, nine hundred twenty-eight".