28164604916448 has 3456 divisors, whose sum is σ = 117760118740992. Its totient is φ = 6437781504000.

The previous prime is 28164604916443. The next prime is 28164604916531. The reversal of 28164604916448 is 84461940646182.

28164604916448 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 4 + 604 + 9 + 16 + 4 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28164604916443) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 249244291240 + ... + 249244291352.

It is an arithmetic number, because the mean of its divisors is an integer number (34074108432).

Almost surely, 2^{28164604916448} is an apocalyptic number.

28164604916448 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 28164604916448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58880059370496).

28164604916448 is an abundant number, since it is smaller than the sum of its proper divisors (89595513824544).

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

28164604916448 is a wasteful number, since it uses less digits than its factorization.

28164604916448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 28164604916448 in words is "twenty-eight trillion, one hundred sixty-four billion, six hundred four million, nine hundred sixteen thousand, four hundred forty-eight".