28501603280640 has 1728 divisors, whose sum is σ = 121362842345472. Its totient is φ = 6266983219200.

The previous prime is 28501603280599. The next prime is 28501603280687. The reversal of 28501603280640 is 4608230610582.

28501603280640 is a `hidden beast` number, since 2 + 8 + 501 + 6 + 0 + 3 + 2 + 80 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12216716914 + ... + 12216719246.

Almost surely, 2^{28501603280640} is an apocalyptic number.

28501603280640 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 28501603280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60681421172736).

28501603280640 is an abundant number, since it is smaller than the sum of its proper divisors (92861239064832).

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

28501603280640 is a wasteful number, since it uses less digits than its factorization.

28501603280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 28501603280640 in words is "twenty-eight trillion, five hundred one billion, six hundred three million, two hundred eighty thousand, six hundred forty".