28834626240 has 840 divisors, whose sum is σ = 121339307232. Its totient is φ = 6479585280.

The previous prime is 28834626209. The next prime is 28834626257. The reversal of 28834626240 is 4262643882.

28834626240 is a `hidden beast` number, since 2 + 8 + 8 + 346 + 262 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 92715685 + ... + 92715995.

Almost surely, 2^28834626240 is an apocalyptic number.

28834626240 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 28834626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60669653616).

28834626240 is an abundant number, since it is smaller than the sum of its proper divisors (92504680992).

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

28834626240 is a wasteful number, since it uses less digits than its factorization.

28834626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 28834626240 in words is "twenty-eight billion, eight hundred thirty-four million, six hundred twenty-six thousand, two hundred forty".