28605452736 has 224 divisors, whose sum is σ = 91716352000. Its totient is φ = 7686171648.

The previous prime is 28605452731. The next prime is 28605452749. The reversal of 28605452736 is 63725450682.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28605452731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3545475 + ... + 3553533.

It is an arithmetic number, because the mean of its divisors is an integer number (409448000).

Almost surely, 2^28605452736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28605452736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45858176000).

28605452736 is an abundant number, since it is smaller than the sum of its proper divisors (63110899264).

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

28605452736 is a wasteful number, since it uses less digits than its factorization.

28605452736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8239 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 28605452736 in words is "twenty-eight billion, six hundred five million, four hundred fifty-two thousand, seven hundred thirty-six".