28729559040 has 768 divisors, whose sum is σ = 116237721600. Its totient is φ = 5895880704.

The previous prime is 28729558999. The next prime is 28729559059. The reversal of 28729559040 is 4095592782.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120207241 + ... + 120207479.

It is an arithmetic number, because the mean of its divisors is an integer number (151351200).

Almost surely, 2^28729559040 is an apocalyptic number.

28729559040 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 28729559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58118860800).

28729559040 is an abundant number, since it is smaller than the sum of its proper divisors (87508162560).

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

28729559040 is a wasteful number, since it uses less digits than its factorization.

28729559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 28729559040 in words is "twenty-eight billion, seven hundred twenty-nine million, five hundred fifty-nine thousand, forty".