152728820 has 12 divisors (see below), whose sum is σ = 320730564. Its totient is φ = 61091520.

The previous prime is 152728817. The next prime is 152728831. The reversal of 152728820 is 28827251.

152728820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 73376356 + 79352464 = 8566^2 + 8908^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3818201 + ... + 3818240.

It is an arithmetic number, because the mean of its divisors is an integer number (26727547).

Almost surely, 2^152728820 is an apocalyptic number.

152728820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152728820 is an abundant number, since it is smaller than the sum of its proper divisors (168001744).

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

152728820 is a wasteful number, since it uses less digits than its factorization.

152728820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7636450 (or 7636448 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 152728820 is about 12358.3502135196. The cubic root of 152728820 is about 534.5319457157.

The spelling of 152728820 in words is "one hundred fifty-two million, seven hundred twenty-eight thousand, eight hundred twenty".