28769490948600 has 120 divisors (see below), whose sum is σ = 99920704267560. Its totient is φ = 7671864248640.

The previous prime is 28769490948587. The next prime is 28769490948617. The reversal of 28769490948600 is 684909496782.

28769490948600 is a `hidden beast` number, since 2 + 8 + 7 + 6 + 9 + 4 + 9 + 0 + 9 + 4 + 8 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 887931052 + ... + 887963451.

It is an arithmetic number, because the mean of its divisors is an integer number (832672535563).

Almost surely, 2^{28769490948600} is an apocalyptic number.

28769490948600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28769490948600 is an abundant number, since it is smaller than the sum of its proper divisors (71151213318960).

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

28769490948600 is a wasteful number, since it uses less digits than its factorization.

28769490948600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775894531 (or 1775894513 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 28769490948600 in words is "twenty-eight trillion, seven hundred sixty-nine billion, four hundred ninety million, nine hundred forty-eight thousand, six hundred".