21028648032 has 576 divisors, whose sum is σ = 76200445440. Its totient is φ = 5523628032.

The previous prime is 21028648019. The next prime is 21028648033. The reversal of 21028648032 is 23084682012.

21028648032 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 8 + 648 + 0 + 3 + 2 = 666.

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 (21028648033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92637103 + ... + 92637329.

It is an arithmetic number, because the mean of its divisors is an integer number (132292440).

Almost surely, 2^21028648032 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 21028648032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38100222720).

21028648032 is an abundant number, since it is smaller than the sum of its proper divisors (55171797408).

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

21028648032 is a wasteful number, since it uses less digits than its factorization.

21028648032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 309 counting only the distinct ones).

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

The spelling of 21028648032 in words is "twenty-one billion, twenty-eight million, six hundred forty-eight thousand, thirty-two".