28661005184448 has 672 divisors, whose sum is σ = 96804768438336. Its totient is φ = 7416324292608.

The previous prime is 28661005184423. The next prime is 28661005184503. The reversal of 28661005184448 is 84448150016682.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1723132740 + ... + 1723149372.

It is an arithmetic number, because the mean of its divisors is an integer number (144054714938).

Almost surely, 2^{28661005184448} is an apocalyptic number.

28661005184448 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 28661005184448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48402384219168).

28661005184448 is an abundant number, since it is smaller than the sum of its proper divisors (68143763253888).

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

28661005184448 is a wasteful number, since it uses less digits than its factorization.

28661005184448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16941 (or 16924 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 57.

The spelling of 28661005184448 in words is "twenty-eight trillion, six hundred sixty-one billion, five million, one hundred eighty-four thousand, four hundred forty-eight".