28968549120 has 1296 divisors, whose sum is σ = 127771993440. Its totient is φ = 6019743744.

The previous prime is 28968549107. The next prime is 28968549131. The reversal of 28968549120 is 2194586982.

It is a happy number.

28968549120 is a `hidden beast` number, since 2 + 8 + 96 + 8 + 549 + 1 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 396829404 + ... + 396829476.

Almost surely, 2^28968549120 is an apocalyptic number.

28968549120 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 28968549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63885996720).

28968549120 is an abundant number, since it is smaller than the sum of its proper divisors (98803444320).

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

28968549120 is a wasteful number, since it uses less digits than its factorization.

28968549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 28968549120 in words is "twenty-eight billion, nine hundred sixty-eight million, five hundred forty-nine thousand, one hundred twenty".