28278144000 has 264 divisors, whose sum is σ = 101906505168. Its totient is φ = 7540531200.

The previous prime is 28278143963. The next prime is 28278144001. The reversal of 28278144000 is 44187282.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28278144001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1139727 + ... + 1164273.

Almost surely, 2^28278144000 is an apocalyptic number.

28278144000 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 28278144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50953252584).

28278144000 is an abundant number, since it is smaller than the sum of its proper divisors (73628361168).

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

28278144000 is a wasteful number, since it uses less digits than its factorization.

28278144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24588 (or 24557 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 28278144000 in words is "twenty-eight billion, two hundred seventy-eight million, one hundred forty-four thousand".