153028880 has 40 divisors (see below), whose sum is σ = 357881112. Its totient is φ = 60852224.

The previous prime is 153028879. The next prime is 153028901. The reversal of 153028880 is 88820351.

It can be written as a sum of positive squares in 4 ways, for example, as 22429696 + 130599184 = 4736^2 + 11428^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×153028880² = 46835676228108800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153028880.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8312 + ... + 19368.

Almost surely, 2^153028880 is an apocalyptic number.

153028880 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 153028880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178940556).

153028880 is an abundant number, since it is smaller than the sum of its proper divisors (204852232).

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

153028880 is a wasteful number, since it uses less digits than its factorization.

153028880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11243 (or 11237 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 153028880 is about 12370.4842265774. The cubic root of 153028880 is about 534.8817743245.

The spelling of 153028880 in words is "one hundred fifty-three million, twenty-eight thousand, eight hundred eighty".