28541018400 has 288 divisors, whose sum is σ = 96265713600. Its totient is φ = 7339622400.

The previous prime is 28541018399. The next prime is 28541018411. The reversal of 28541018400 is 481014582.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8755971 + ... + 8759229.

It is an arithmetic number, because the mean of its divisors is an integer number (334255950).

Almost surely, 2^28541018400 is an apocalyptic number.

28541018400 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 28541018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48132856800).

28541018400 is an abundant number, since it is smaller than the sum of its proper divisors (67724695200).

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

28541018400 is a wasteful number, since it uses less digits than its factorization.

28541018400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

It can be divided in two parts, 285410 and 18400, that added together give a triangular number (303810 = T₇₇₉).

The spelling of 28541018400 in words is "twenty-eight billion, five hundred forty-one million, eighteen thousand, four hundred".