152628368 has 80 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 68061312.

The previous prime is 152628361. The next prime is 152628373. The reversal of 152628368 is 863826251.

It is not an unprimeable number, because it can be changed into a prime (152628361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580205 + ... + 580467.

It is an arithmetic number, because the mean of its divisors is an integer number (4124736).

Almost surely, 2^152628368 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 152628368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

152628368 is an abundant number, since it is smaller than the sum of its proper divisors (177350512).

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

152628368 is a wasteful number, since it uses less digits than its factorization.

152628368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 152628368 is about 12354.2854103343. The cubic root of 152628368 is about 534.4147301628.

The spelling of 152628368 in words is "one hundred fifty-two million, six hundred twenty-eight thousand, three hundred sixty-eight".