28659428401968 has 1920 divisors, whose sum is σ = 108881811118080. Its totient is φ = 7095772938240.

The previous prime is 28659428401859. The next prime is 28659428401979. The reversal of 28659428401968 is 86910482495682.

28659428401968 is a `hidden beast` number, since 2 + 8 + 6 + 5 + 9 + 428 + 4 + 0 + 196 + 8 = 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 = 28659428401896 and 28659428401905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 62167957258 + ... + 62167957718.

It is an arithmetic number, because the mean of its divisors is an integer number (56709276624).

Almost surely, 2^{28659428401968} is an apocalyptic number.

28659428401968 is a gapful number since it is divisible by the number (28) 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 28659428401968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54440905559040).

28659428401968 is an abundant number, since it is smaller than the sum of its proper divisors (80222382716112).

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

28659428401968 is a wasteful number, since it uses less digits than its factorization.

28659428401968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 28659428401968 in words is "twenty-eight trillion, six hundred fifty-nine billion, four hundred twenty-eight million, four hundred one thousand, nine hundred sixty-eight".