28179772179840 has 2048 divisors, whose sum is σ = 109735575552000. Its totient is φ = 6814851563520.

The previous prime is 28179772179833. The next prime is 28179772179887. The reversal of 28179772179840 is 4897127797182.

28179772179840 is a `hidden beast` number, since 281 + 7 + 9 + 7 + 7 + 217 + 98 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 255 ways as a sum of consecutive naturals, for example, 147538074145 + ... + 147538074335.

It is an arithmetic number, because the mean of its divisors is an integer number (53581824000).

Almost surely, 2^{28179772179840} is an apocalyptic number.

28179772179840 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 28179772179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54867787776000).

28179772179840 is an abundant number, since it is smaller than the sum of its proper divisors (81555803372160).

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

28179772179840 is a wasteful number, since it uses less digits than its factorization.

28179772179840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 199148544, while the sum is 72.

The spelling of 28179772179840 in words is "twenty-eight trillion, one hundred seventy-nine billion, seven hundred seventy-two million, one hundred seventy-nine thousand, eight hundred forty".