150001728 has 56 divisors (see below), whose sum is σ = 399397728. Its totient is φ = 49683456.

The previous prime is 150001721. The next prime is 150001763. The reversal of 150001728 is 827100051.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 150001698 and 150001707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150001721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28900 + ... + 33692.

Almost surely, 2^150001728 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 150001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199698864).

150001728 is an abundant number, since it is smaller than the sum of its proper divisors (249396000).

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

150001728 is a wasteful number, since it uses less digits than its factorization.

150001728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 150001728 is about 12247.5192590173. The cubic root of 150001728 is about 531.3313248879.

Adding to 150001728 its reverse (827100051), we get a palindrome (977101779).

The spelling of 150001728 in words is "one hundred fifty million, one thousand, seven hundred twenty-eight".