28649967058944 has 1824 divisors, whose sum is σ = 109783181222400. Its totient is φ = 7315421921280.

The previous prime is 28649967058897. The next prime is 28649967058949. The reversal of 28649967058944 is 44985076994682.

28649967058944 is a `hidden beast` number, since 2 + 8 + 6 + 499 + 6 + 7 + 0 + 5 + 89 + 44 = 666.

It is a super-2 number, since 2×28649967058944² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28649967058949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 485592661987 + ... + 485592662045.

It is an arithmetic number, because the mean of its divisors is an integer number (60188147600).

Almost surely, 2^{28649967058944} is an apocalyptic number.

28649967058944 is a gapful number since it is divisible by the number (24) 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 28649967058944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54891590611200).

28649967058944 is an abundant number, since it is smaller than the sum of its proper divisors (81133214163456).

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

28649967058944 is an frugal number, since it uses more digits than its factorization.

28649967058944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 7524679680, while the sum is 81.

The spelling of 28649967058944 in words is "twenty-eight trillion, six hundred forty-nine billion, nine hundred sixty-seven million, fifty-eight thousand, nine hundred forty-four".