28878326400 has 576 divisors, whose sum is σ = 120727942560. Its totient is φ = 5999616000.

The previous prime is 28878326387. The next prime is 28878326417. The reversal of 28878326400 is 462387882.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28878326400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5171610 + ... + 5177190.

Almost surely, 2^28878326400 is an apocalyptic number.

28878326400 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 28878326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60363971280).

28878326400 is an abundant number, since it is smaller than the sum of its proper divisors (91849616160).

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

28878326400 is a wasteful number, since it uses less digits than its factorization.

28878326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 28878326400 in words is "twenty-eight billion, eight hundred seventy-eight million, three hundred twenty-six thousand, four hundred".