28821634464 has 384 divisors, whose sum is σ = 91906375680. Its totient is φ = 7736601600.

The previous prime is 28821634463. The next prime is 28821634477. The reversal of 28821634464 is 46443612882.

It is a super-2 number, since 2×28821634464² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is not an unprimeable number, because it can be changed into a prime (28821634463) 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, 136595319 + ... + 136595529.

It is an arithmetic number, because the mean of its divisors is an integer number (239339520).

Almost surely, 2^28821634464 is an apocalyptic number.

28821634464 is a gapful number since it is divisible by the number (24) 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 28821634464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45953187840).

28821634464 is an abundant number, since it is smaller than the sum of its proper divisors (63084741216).

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

28821634464 is a wasteful number, since it uses less digits than its factorization.

28821634464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The spelling of 28821634464 in words is "twenty-eight billion, eight hundred twenty-one million, six hundred thirty-four thousand, four hundred sixty-four".