28801128 has 64 divisors (see below), whose sum is σ = 77362560. Its totient is φ = 8902656.

The previous prime is 28801127. The next prime is 28801153. The reversal of 28801128 is 82110882.

It is a junction number, because it is equal to n+sod(n) for n = 28801095 and 28801104.

It is not an unprimeable number, because it can be changed into a prime (28801127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29301 + ... + 30267.

It is an arithmetic number, because the mean of its divisors is an integer number (1208790).

Almost surely, 2^28801128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28801128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38681280).

28801128 is an abundant number, since it is smaller than the sum of its proper divisors (48561432).

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

28801128 is a wasteful number, since it uses less digits than its factorization.

28801128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 28801128 is about 5366.6682401654. The cubic root of 28801128 is about 306.5277747433.

The spelling of 28801128 in words is "twenty-eight million, eight hundred one thousand, one hundred twenty-eight".