28428686400 has 252 divisors, whose sum is σ = 96391177296. Its totient is φ = 7335244800.

The previous prime is 28428686387. The next prime is 28428686411. The reversal of 28428686400 is 468682482.

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 28428686400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4609719 + ... + 4615881.

Almost surely, 2^28428686400 is an apocalyptic number.

28428686400 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 28428686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48195588648).

28428686400 is an abundant number, since it is smaller than the sum of its proper divisors (67962490896).

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

28428686400 is a wasteful number, since it uses less digits than its factorization.

28428686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 28428686400 in words is "twenty-eight billion, four hundred twenty-eight million, six hundred eighty-six thousand, four hundred".