28901727120 has 320 divisors, whose sum is σ = 108795179520. Its totient is φ = 6205538304.

The previous prime is 28901727119. The next prime is 28901727121. The reversal of 28901727120 is 2172710982.

It is an interprime number because it is at equal distance from previous prime (28901727119) and next prime (28901727121).

It is not an unprimeable number, because it can be changed into a prime (28901727121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1794624 + ... + 1810656.

It is an arithmetic number, because the mean of its divisors is an integer number (339984936).

Almost surely, 2^28901727120 is an apocalyptic number.

28901727120 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 28901727120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54397589760).

28901727120 is an abundant number, since it is smaller than the sum of its proper divisors (79893452400).

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

28901727120 is a wasteful number, since it uses less digits than its factorization.

28901727120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16122 (or 16116 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The spelling of 28901727120 in words is "twenty-eight billion, nine hundred one million, seven hundred twenty-seven thousand, one hundred twenty".