28790469792 has 288 divisors, whose sum is σ = 100837578240. Its totient is φ = 7960135680.

The previous prime is 28790469791. The next prime is 28790469797. The reversal of 28790469792 is 29796409782.

28790469792 is a `hidden beast` number, since 2 + 87 + 9 + 0 + 469 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (28790469791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1301448 + ... + 1323384.

It is an arithmetic number, because the mean of its divisors is an integer number (350130480).

Almost surely, 2^28790469792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28790469792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50418789120).

28790469792 is an abundant number, since it is smaller than the sum of its proper divisors (72047108448).

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

28790469792 is a wasteful number, since it uses less digits than its factorization.

28790469792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22001 (or 21980 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 28790469792 in words is "twenty-eight billion, seven hundred ninety million, four hundred sixty-nine thousand, seven hundred ninety-two".