152628300 has 216 divisors, whose sum is σ = 542173632. Its totient is φ = 36936000.

The previous prime is 152628277. The next prime is 152628313. The reversal of 152628300 is 3826251.

152628300 is a `hidden beast` number, since 1 + 5 + 2 + 628 + 30 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 267015 + ... + 267585.

Almost surely, 2^152628300 is an apocalyptic number.

152628300 is a gapful number since it is divisible by the number (10) 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 152628300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271086816).

152628300 is an abundant number, since it is smaller than the sum of its proper divisors (389545332).

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

152628300 is a wasteful number, since it uses less digits than its factorization.

152628300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 152628300 is about 12354.2826582526. The cubic root of 152628300 is about 534.4146507974.

The spelling of 152628300 in words is "one hundred fifty-two million, six hundred twenty-eight thousand, three hundred".