28620829440 has 432 divisors, whose sum is σ = 118153092960. Its totient is φ = 6541516800.

The previous prime is 28620829439. The next prime is 28620829441. The reversal of 28620829440 is 4492802682.

It is an interprime number because it is at equal distance from previous prime (28620829439) and next prime (28620829441).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28620829441) 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 47 ways as a sum of consecutive naturals, for example, 1684990 + ... + 1701890.

It is an arithmetic number, because the mean of its divisors is an integer number (273502530).

Almost surely, 2^28620829440 is an apocalyptic number.

28620829440 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 28620829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59076546480).

28620829440 is an abundant number, since it is smaller than the sum of its proper divisors (89532263520).

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

28620829440 is a wasteful number, since it uses less digits than its factorization.

28620829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16945 (or 16918 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28620829440 in words is "twenty-eight billion, six hundred twenty million, eight hundred twenty-nine thousand, four hundred forty".