28314482400 has 216 divisors, whose sum is σ = 103065528384. Its totient is φ = 7306905600.

The previous prime is 28314482393. The next prime is 28314482407. The reversal of 28314482400 is 428441382.

It is an interprime number because it is at equal distance from previous prime (28314482393) and next prime (28314482407).

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 (28314482407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 159772 + ... + 286628.

It is an arithmetic number, because the mean of its divisors is an integer number (477155224).

Almost surely, 2^28314482400 is an apocalyptic number.

28314482400 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 28314482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51532764192).

28314482400 is an abundant number, since it is smaller than the sum of its proper divisors (74751045984).

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

28314482400 is a wasteful number, since it uses less digits than its factorization.

28314482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126914 (or 126898 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 28314482400 in words is "twenty-eight billion, three hundred fourteen million, four hundred eighty-two thousand, four hundred".