28901306367648 has 576 divisors, whose sum is σ = 99713648885760. Its totient is φ = 7820180121600.

The previous prime is 28901306367643. The next prime is 28901306367653. The reversal of 28901306367648 is 84676360310982.

28901306367648 is a `hidden beast` number, since 2 + 89 + 0 + 130 + 6 + 367 + 64 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (28901306367643) and next prime (28901306367653).

It is not an unprimeable number, because it can be changed into a prime (28901306367643) 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, 5309809215 + ... + 5309814657.

It is an arithmetic number, because the mean of its divisors is an integer number (173113973760).

Almost surely, 2^{28901306367648} 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 28901306367648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49856824442880).

28901306367648 is an abundant number, since it is smaller than the sum of its proper divisors (70812342518112).

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

28901306367648 is a wasteful number, since it uses less digits than its factorization.

28901306367648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9673 (or 9662 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 28901306367648 in words is "twenty-eight trillion, nine hundred one billion, three hundred six million, three hundred sixty-seven thousand, six hundred forty-eight".