152460728 has 48 divisors (see below), whose sum is σ = 337699440. Its totient is φ = 63210240.

The previous prime is 152460727. The next prime is 152460733. The reversal of 152460728 is 827064251.

152460728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152460727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52400 + ... + 55232.

It is an arithmetic number, because the mean of its divisors is an integer number (7035405).

Almost surely, 2^152460728 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 152460728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168849720).

152460728 is an abundant number, since it is smaller than the sum of its proper divisors (185238712).

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

152460728 is a wasteful number, since it uses less digits than its factorization.

152460728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 152460728 is about 12347.4988560437. The cubic root of 152460728 is about 534.2189996075.

The spelling of 152460728 in words is "one hundred fifty-two million, four hundred sixty thousand, seven hundred twenty-eight".