28648829440 has 640 divisors, whose sum is σ = 91639848960. Its totient is φ = 8326348800.

The previous prime is 28648829431. The next prime is 28648829449. The reversal of 28648829440 is 4492884682.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28648829431) and next prime (28648829449).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (28648829449) 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, 321896916 + ... + 321897004.

It is an arithmetic number, because the mean of its divisors is an integer number (143187264).

Almost surely, 2^28648829440 is an apocalyptic number.

28648829440 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 28648829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45819924480).

28648829440 is an abundant number, since it is smaller than the sum of its proper divisors (62991019520).

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

28648829440 is a wasteful number, since it uses less digits than its factorization.

28648829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 55.

The spelling of 28648829440 in words is "twenty-eight billion, six hundred forty-eight million, eight hundred twenty-nine thousand, four hundred forty".