28153120 has 48 divisors (see below), whose sum is σ = 66951360. Its totient is φ = 11186944.

The previous prime is 28153067. The next prime is 28153121. The reversal of 28153120 is 2135182.

It is a super-3 number, since 3×28153120³ (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28153091 and 28153100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28153121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28149 + ... + 29131.

It is an arithmetic number, because the mean of its divisors is an integer number (1394820).

Almost surely, 2^28153120 is an apocalyptic number.

28153120 is a gapful number since it is divisible by the number (20) 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 28153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33475680).

28153120 is an abundant number, since it is smaller than the sum of its proper divisors (38798240).

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

28153120 is a wasteful number, since it uses less digits than its factorization.

28153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 28153120 is about 5305.9513755782. The cubic root of 28153120 is about 304.2114180313.

The spelling of 28153120 in words is "twenty-eight million, one hundred fifty-three thousand, one hundred twenty".