152628336 has 180 divisors, whose sum is σ = 504259392. Its totient is φ = 42964992.

The previous prime is 152628313. The next prime is 152628347. The reversal of 152628336 is 633826251.

It is a happy number.

152628336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 152628336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 684321 + ... + 684543.

Almost surely, 2^152628336 is an apocalyptic number.

152628336 is a gapful number since it is divisible by the number (16) 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 152628336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252129696).

152628336 is an abundant number, since it is smaller than the sum of its proper divisors (351631056).

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

152628336 is a wasteful number, since it uses less digits than its factorization.

152628336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 152628336 is about 12354.2841152371. The cubic root of 152628336 is about 534.4146928144.

The spelling of 152628336 in words is "one hundred fifty-two million, six hundred twenty-eight thousand, three hundred thirty-six".