28463853600 has 864 divisors, whose sum is σ = 128188045440. Its totient is φ = 6001827840.

The previous prime is 28463853599. The next prime is 28463853601. The reversal of 28463853600 is 635836482.

It is a happy number.

28463853600 is a `hidden beast` number, since 2 + 8 + 4 + 6 + 38 + 5 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (28463853599) and next prime (28463853601).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28463853601) 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, 17689596 + ... + 17691204.

Almost surely, 2^28463853600 is an apocalyptic number.

28463853600 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 28463853600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64094022720).

28463853600 is an abundant number, since it is smaller than the sum of its proper divisors (99724191840).

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

28463853600 is a wasteful number, since it uses less digits than its factorization.

28463853600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 28463853600 in words is "twenty-eight billion, four hundred sixty-three million, eight hundred fifty-three thousand, six hundred".