28771142400 has 1296 divisors, whose sum is σ = 138386976000. Its totient is φ = 5507481600.

The previous prime is 28771142399. The next prime is 28771142419. The reversal of 28771142400 is 424117782.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 57657351 + ... + 57657849.

Almost surely, 2^28771142400 is an apocalyptic number.

28771142400 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 28771142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69193488000).

28771142400 is an abundant number, since it is smaller than the sum of its proper divisors (109615833600).

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

28771142400 is a wasteful number, since it uses less digits than its factorization.

28771142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

It can be divided in two parts, 28771 and 142400, that added together give a palindrome (171171).

The spelling of 28771142400 in words is "twenty-eight billion, seven hundred seventy-one million, one hundred forty-two thousand, four hundred".