152000628 has 72 divisors (see below), whose sum is σ = 386882496. Its totient is φ = 46425600.

The previous prime is 152000623. The next prime is 152000633. The reversal of 152000628 is 826000251.

152000628 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152000623) and next prime (152000633).

152000628 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 152000598 and 152000607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152000623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488593 + ... + 488903.

It is an arithmetic number, because the mean of its divisors is an integer number (5373368).

Almost surely, 2^152000628 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 152000628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193441248).

152000628 is an abundant number, since it is smaller than the sum of its proper divisors (234881868).

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

152000628 is a wasteful number, since it uses less digits than its factorization.

152000628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 152000628 is about 12328.8534746748. The cubic root of 152000628 is about 533.6810647242.

Adding to 152000628 its reverse (826000251), we get a palindrome (978000879).

It can be divided in two parts, 152000 and 628, that added together give a triangular number (152628 = T₅₅₂).

The spelling of 152000628 in words is "one hundred fifty-two million, six hundred twenty-eight", and thus it is an aban number.