28738484640 has 384 divisors, whose sum is σ = 104509440000. Its totient is φ = 7370339328.

The previous prime is 28738484629. The next prime is 28738484681. The reversal of 28738484640 is 4648483782.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11978161 + ... + 11980559.

It is an arithmetic number, because the mean of its divisors is an integer number (272160000).

Almost surely, 2^28738484640 is an apocalyptic number.

28738484640 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 28738484640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720000).

28738484640 is an abundant number, since it is smaller than the sum of its proper divisors (75770955360).

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

28738484640 is a wasteful number, since it uses less digits than its factorization.

28738484640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 28738484640 in words is "twenty-eight billion, seven hundred thirty-eight million, four hundred eighty-four thousand, six hundred forty".