28871942400 has 432 divisors, whose sum is σ = 120999894400. Its totient is φ = 6599024640.

The previous prime is 28871942381. The next prime is 28871942459. The reversal of 28871942400 is 424917882.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1197666 + ... + 1221534.

Almost surely, 2^28871942400 is an apocalyptic number.

28871942400 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 28871942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60499947200).

28871942400 is an abundant number, since it is smaller than the sum of its proper divisors (92127952000).

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

28871942400 is a wasteful number, since it uses less digits than its factorization.

28871942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23911 (or 23886 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 28871942400 in words is "twenty-eight billion, eight hundred seventy-one million, nine hundred forty-two thousand, four hundred".