158828800 has 216 divisors, whose sum is σ = 447096384. Its totient is φ = 55418880.

The previous prime is 158828797. The next prime is 158828819. The reversal of 158828800 is 8828851.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1913559 + ... + 1913641.

Almost surely, 2^158828800 is an apocalyptic number.

158828800 is a gapful number since it is divisible by the number (10) 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 158828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223548192).

158828800 is an abundant number, since it is smaller than the sum of its proper divisors (288267584).

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

158828800 is a wasteful number, since it uses less digits than its factorization.

158828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 40.

The square root of 158828800 is about 12602.7298630098. The cubic root of 158828800 is about 541.5556422023. Note that the first 3 decimals are identical.

The spelling of 158828800 in words is "one hundred fifty-eight million, eight hundred twenty-eight thousand, eight hundred".