28778068800 has 1680 divisors, whose sum is σ = 128050137600. Its totient is φ = 6270566400.

The previous prime is 28778068799. The next prime is 28778068801. The reversal of 28778068800 is 886087782.

It is an interprime number because it is at equal distance from previous prime (28778068799) and next prime (28778068801).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28778068801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 928324785 + ... + 928324815.

It is an arithmetic number, because the mean of its divisors is an integer number (76220320).

Almost surely, 2^28778068800 is an apocalyptic number.

28778068800 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 28778068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64025068800).

28778068800 is an abundant number, since it is smaller than the sum of its proper divisors (99272068800).

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

28778068800 is a wasteful number, since it uses less digits than its factorization.

28778068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 28778068800 in words is "twenty-eight billion, seven hundred seventy-eight million, sixty-eight thousand, eight hundred".