28400301648 has 100 divisors (see below), whose sum is σ = 82322671860. Its totient is φ = 9452491776.

The previous prime is 28400301641. The next prime is 28400301691. The reversal of 28400301648 is 84610300482.

28400301648 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 0 + 3 + 0 + 1 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16121888784 + 12278412864 = 126972^2 + 110808^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28400301641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 861208 + ... + 893576.

Almost surely, 2^28400301648 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 28400301648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41161335930).

28400301648 is an abundant number, since it is smaller than the sum of its proper divisors (53922370212).

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

28400301648 is a wasteful number, since it uses less digits than its factorization.

28400301648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33066 (or 33051 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 28400301648 in words is "twenty-eight billion, four hundred million, three hundred one thousand, six hundred forty-eight".