28878345600 has 384 divisors, whose sum is σ = 103188708000. Its totient is φ = 7056261120.

The previous prime is 28878345593. The next prime is 28878345607. The reversal of 28878345600 is 654387882.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28878345593) and next prime (28878345607).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28878345607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18594424 + ... + 18595976.

Almost surely, 2^28878345600 is an apocalyptic number.

28878345600 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 28878345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51594354000).

28878345600 is an abundant number, since it is smaller than the sum of its proper divisors (74310362400).

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

28878345600 is a wasteful number, since it uses less digits than its factorization.

28878345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 28878345600 in words is "twenty-eight billion, eight hundred seventy-eight million, three hundred forty-five thousand, six hundred".