28889505120 has 576 divisors, whose sum is σ = 112426030080. Its totient is φ = 6096752640.

The previous prime is 28889505103. The next prime is 28889505167. The reversal of 28889505120 is 2150598882.

It is a super-3 number, since 3×28889505120³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28889505120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74265886 + ... + 74266274.

It is an arithmetic number, because the mean of its divisors is an integer number (195184080).

Almost surely, 2^28889505120 is an apocalyptic number.

28889505120 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 28889505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56213015040).

28889505120 is an abundant number, since it is smaller than the sum of its proper divisors (83536524960).

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

28889505120 is a wasteful number, since it uses less digits than its factorization.

28889505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 48.

The spelling of 28889505120 in words is "twenty-eight billion, eight hundred eighty-nine million, five hundred five thousand, one hundred twenty".