28419769572480 has 1024 divisors, whose sum is σ = 124473984768000. Its totient is φ = 6024939356160.

The previous prime is 28419769572437. The next prime is 28419769572527. The reversal of 28419769572480 is 8427596791482.

It is a happy number.

28419769572480 is a `hidden beast` number, since 2 + 8 + 4 + 1 + 9 + 7 + 6 + 9 + 572 + 48 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28419769572399 and 28419769572408.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46647099 + ... + 47252421.

It is an arithmetic number, because the mean of its divisors is an integer number (121556625750).

Almost surely, 2^{28419769572480} is an apocalyptic number.

28419769572480 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 28419769572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62236992384000).

28419769572480 is an abundant number, since it is smaller than the sum of its proper divisors (96054215195520).

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

28419769572480 is a wasteful number, since it uses less digits than its factorization.

28419769572480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605394 (or 605376 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 28419769572480 in words is "twenty-eight trillion, four hundred nineteen billion, seven hundred sixty-nine million, five hundred seventy-two thousand, four hundred eighty".