28029830400 has 1296 divisors, whose sum is σ = 122057312832. Its totient is φ = 6045696000.

The previous prime is 28029830357. The next prime is 28029830407. The reversal of 28029830400 is 403892082.

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 (28029830407) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 337708759 + ... + 337708841.

Almost surely, 2^28029830400 is an apocalyptic number.

28029830400 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 28029830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61028656416).

28029830400 is an abundant number, since it is smaller than the sum of its proper divisors (94027482432).

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

28029830400 is a wasteful number, since it uses less digits than its factorization.

28029830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 28029830400 in words is "twenty-eight billion, twenty-nine million, eight hundred thirty thousand, four hundred".