153097728 has 160 divisors (see below), whose sum is σ = 483183360. Its totient is φ = 42147840.

The previous prime is 153097723. The next prime is 153097741. The reversal of 153097728 is 827790351.

It is a super-3 number, since 3×153097728³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 153097728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153097723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311563 + ... + 312053.

It is an arithmetic number, because the mean of its divisors is an integer number (3019896).

Almost surely, 2^153097728 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 153097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241591680).

153097728 is an abundant number, since it is smaller than the sum of its proper divisors (330085632).

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

153097728 is an equidigital number, since it uses as much as digits as its factorization.

153097728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 153097728 is about 12373.2666664871. The cubic root of 153097728 is about 534.9619770922.

The spelling of 153097728 in words is "one hundred fifty-three million, ninety-seven thousand, seven hundred twenty-eight".