152761728 has 128 divisors (see below), whose sum is σ = 491166720. Its totient is φ = 41066496.

The previous prime is 152761723. The next prime is 152761783. The reversal of 152761728 is 827167251.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×152761728² = 46672291083091968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152761723) 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, 44025 + ... + 47367.

It is an arithmetic number, because the mean of its divisors is an integer number (3837240).

Almost surely, 2^152761728 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 152761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245583360).

152761728 is an abundant number, since it is smaller than the sum of its proper divisors (338404992).

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

152761728 is a wasteful number, since it uses less digits than its factorization.

152761728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3372 counting only the distinct ones).

The product of its digits is 47040, while the sum is 39.

The square root of 152761728 is about 12359.6815492957. The cubic root of 152761728 is about 534.5703342662.

The spelling of 152761728 in words is "one hundred fifty-two million, seven hundred sixty-one thousand, seven hundred twenty-eight".