152047728 has 240 divisors, whose sum is σ = 543179520. Its totient is φ = 38651904.

The previous prime is 152047691. The next prime is 152047739. The reversal of 152047728 is 827740251.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152047692 and 152047701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325351 + ... + 325817.

It is an arithmetic number, because the mean of its divisors is an integer number (2263248).

Almost surely, 2^152047728 is an apocalyptic number.

152047728 is a gapful number since it is divisible by the number (18) 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 152047728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271589760).

152047728 is an abundant number, since it is smaller than the sum of its proper divisors (391131792).

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

152047728 is a wasteful number, since it uses less digits than its factorization.

152047728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 152047728 is about 12330.7634800121. The cubic root of 152047728 is about 533.7361824401.

Adding to 152047728 its reverse (827740251), we get a palindrome (979787979).

The spelling of 152047728 in words is "one hundred fifty-two million, forty-seven thousand, seven hundred twenty-eight".