28123464600 has 768 divisors, whose sum is σ = 121706496000. Its totient is φ = 5798822400.

The previous prime is 28123464587. The next prime is 28123464661. The reversal of 28123464600 is 646432182.

28123464600 is a `hidden beast` number, since 2 + 8 + 1 + 2 + 3 + 4 + 646 + 0 + 0 = 666.

It is a super-2 number, since 2×28123464600² (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 a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 99376059 + ... + 99376341.

It is an arithmetic number, because the mean of its divisors is an integer number (158472000).

Almost surely, 2^28123464600 is an apocalyptic number.

28123464600 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 28123464600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60853248000).

28123464600 is an abundant number, since it is smaller than the sum of its proper divisors (93583031400).

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

28123464600 is a wasteful number, since it uses less digits than its factorization.

28123464600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 28123464600 its reverse (646432182), we get a palindrome (28769896782).

The spelling of 28123464600 in words is "twenty-eight billion, one hundred twenty-three million, four hundred sixty-four thousand, six hundred".