28427315400 has 288 divisors, whose sum is σ = 104338634400. Its totient is φ = 6878822400.

The previous prime is 28427315393. The next prime is 28427315407. The reversal of 28427315400 is 451372482.

It is a happy number.

28427315400 is a `hidden beast` number, since 2 + 8 + 42 + 73 + 1 + 540 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28427315393) and next prime (28427315407).

It is a super-2 number, since 2×28427315400² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28427315407) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 15225267 + ... + 15227133.

It is an arithmetic number, because the mean of its divisors is an integer number (362286925).

Almost surely, 2^28427315400 is an apocalyptic number.

28427315400 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 28427315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52169317200).

28427315400 is an abundant number, since it is smaller than the sum of its proper divisors (75911319000).

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

28427315400 is a wasteful number, since it uses less digits than its factorization.

28427315400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 28427315400 its reverse (451372482), we get a palindrome (28878687882).

The spelling of 28427315400 in words is "twenty-eight billion, four hundred twenty-seven million, three hundred fifteen thousand, four hundred".