28213194240 has 1920 divisors, whose sum is σ = 137271214080. Its totient is φ = 5374771200.

The previous prime is 28213194227. The next prime is 28213194307. The reversal of 28213194240 is 4249131282.

28213194240 is a `hidden beast` number, since 2 + 8 + 213 + 19 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 28213194195 and 28213194204.

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, 910103025 + ... + 910103055.

It is an arithmetic number, because the mean of its divisors is an integer number (71495424).

Almost surely, 2^28213194240 is an apocalyptic number.

28213194240 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 28213194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68635607040).

28213194240 is an abundant number, since it is smaller than the sum of its proper divisors (109058019840).

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

28213194240 is a wasteful number, since it uses less digits than its factorization.

28213194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 28213194240 in words is "twenty-eight billion, two hundred thirteen million, one hundred ninety-four thousand, two hundred forty".