28390728960 has 1152 divisors, whose sum is σ = 122067025920. Its totient is φ = 6163660800.

The previous prime is 28390728907. The next prime is 28390728997. The reversal of 28390728960 is 6982709382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28390728897 and 28390728906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148642465 + ... + 148642655.

It is an arithmetic number, because the mean of its divisors is an integer number (105960960).

Almost surely, 2^28390728960 is an apocalyptic number.

28390728960 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 28390728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61033512960).

28390728960 is an abundant number, since it is smaller than the sum of its proper divisors (93676296960).

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

28390728960 is a wasteful number, since it uses less digits than its factorization.

28390728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 28390728960 in words is "twenty-eight billion, three hundred ninety million, seven hundred twenty-eight thousand, nine hundred sixty".