28629834240 has 640 divisors, whose sum is σ = 110872903680. Its totient is φ = 6163660800.

The previous prime is 28629834221. The next prime is 28629834287. The reversal of 28629834240 is 4243892682.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28629834240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68328751 + ... + 68329169.

It is an arithmetic number, because the mean of its divisors is an integer number (173238912).

Almost surely, 2^28629834240 is an apocalyptic number.

28629834240 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 28629834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55436451840).

28629834240 is an abundant number, since it is smaller than the sum of its proper divisors (82243069440).

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

28629834240 is a wasteful number, since it uses less digits than its factorization.

28629834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 28629834240 in words is "twenty-eight billion, six hundred twenty-nine million, eight hundred thirty-four thousand, two hundred forty".