28948461696 has 1024 divisors, whose sum is σ = 115623936000. Its totient is φ = 6987202560.

The previous prime is 28948461683. The next prime is 28948461719. The reversal of 28948461696 is 69616484982.

28948461696 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 8 + 4 + 616 + 9 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 366436185 + ... + 366436263.

It is an arithmetic number, because the mean of its divisors is an integer number (112914000).

Almost surely, 2^28948461696 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 28948461696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57811968000).

28948461696 is an abundant number, since it is smaller than the sum of its proper divisors (86675474304).

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

28948461696 is an equidigital number, since it uses as much as digits as its factorization.

28948461696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 119 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 28948461696 in words is "twenty-eight billion, nine hundred forty-eight million, four hundred sixty-one thousand, six hundred ninety-six".