28996128 has 144 divisors (see below), whose sum is σ = 99328320. Its totient is φ = 7838208.

The previous prime is 28996103. The next prime is 28996171. The reversal of 28996128 is 82169982.

28996128 is a `hidden beast` number, since 28 + 9 + 9 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 37926 + ... + 38682.

It is an arithmetic number, because the mean of its divisors is an integer number (689780).

Almost surely, 2^28996128 is an apocalyptic number.

28996128 is a gapful number since it is divisible by the number (28) 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 28996128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49664160).

28996128 is an abundant number, since it is smaller than the sum of its proper divisors (70332192).

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

28996128 is a wasteful number, since it uses less digits than its factorization.

28996128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 788 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 28996128 is about 5384.8052889589. The cubic root of 28996128 is about 307.2180083844.

The spelling of 28996128 in words is "twenty-eight million, nine hundred ninety-six thousand, one hundred twenty-eight".