28048121640 has 256 divisors, whose sum is σ = 116563968000. Its totient is φ = 5828163840.

The previous prime is 28048121639. The next prime is 28048121641. The reversal of 28048121640 is 4612184082.

28048121640 is a `hidden beast` number, since 2 + 8 + 0 + 4 + 8 + 1 + 2 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (28048121639) and next prime (28048121641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28048121595 and 28048121604.

It is not an unprimeable number, because it can be changed into a prime (28048121641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85480 + ... + 251799.

It is an arithmetic number, because the mean of its divisors is an integer number (455328000).

Almost surely, 2^28048121640 is an apocalyptic number.

28048121640 is a gapful number since it is divisible by the number (20) 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 28048121640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58281984000).

28048121640 is an abundant number, since it is smaller than the sum of its proper divisors (88515846360).

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

28048121640 is a wasteful number, since it uses less digits than its factorization.

28048121640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337317 (or 337307 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 28048121640 in words is "twenty-eight billion, forty-eight million, one hundred twenty-one thousand, six hundred forty".