28002466800 has 960 divisors, whose sum is σ = 125645291520. Its totient is φ = 5754240000.

The previous prime is 28002466783. The next prime is 28002466853. The reversal of 28002466800 is 866420082.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125571489 + ... + 125571711.

It is an arithmetic number, because the mean of its divisors is an integer number (130880512).

Almost surely, 2^28002466800 is an apocalyptic number.

28002466800 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 28002466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62822645760).

28002466800 is an abundant number, since it is smaller than the sum of its proper divisors (97642824720).

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

28002466800 is a wasteful number, since it uses less digits than its factorization.

28002466800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 28002466800 its reverse (866420082), we get a palindrome (28868886882).

The spelling of 28002466800 in words is "twenty-eight billion, two million, four hundred sixty-six thousand, eight hundred".