28612362240 has 1080 divisors, whose sum is σ = 130176019512. Its totient is φ = 5945425920.

The previous prime is 28612362217. The next prime is 28612362241. The reversal of 28612362240 is 4226321682.

28612362240 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 23 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 = 28612362195 and 28612362204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28612362241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2601123835 + ... + 2601123845.

Almost surely, 2^28612362240 is an apocalyptic number.

28612362240 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 28612362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65088009756).

28612362240 is an abundant number, since it is smaller than the sum of its proper divisors (101563657272).

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

28612362240 is an frugal number, since it uses more digits than its factorization.

28612362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

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

The spelling of 28612362240 in words is "twenty-eight billion, six hundred twelve million, three hundred sixty-two thousand, two hundred forty".