28761008640 has 480 divisors, whose sum is σ = 115203876480. Its totient is φ = 6067224576.

The previous prime is 28761008621. The next prime is 28761008669. The reversal of 28761008640 is 4680016782.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 28761008592 and 28761008601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4889221 + ... + 4895099.

It is an arithmetic number, because the mean of its divisors is an integer number (240008076).

Almost surely, 2^28761008640 is an apocalyptic number.

28761008640 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 28761008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57601938240).

28761008640 is an abundant number, since it is smaller than the sum of its proper divisors (86442867840).

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

28761008640 is a wasteful number, since it uses less digits than its factorization.

28761008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 28761008640 in words is "twenty-eight billion, seven hundred sixty-one million, eight thousand, six hundred forty".