28938608640 has 448 divisors, whose sum is σ = 104180152320. Its totient is φ = 7620526080.

The previous prime is 28938608623. The next prime is 28938608659. The reversal of 28938608640 is 4680683982.

28938608640 is a `hidden beast` number, since 28 + 9 + 3 + 8 + 608 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151510945 + ... + 151511135.

Almost surely, 2^28938608640 is an apocalyptic number.

28938608640 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 28938608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52090076160).

28938608640 is an abundant number, since it is smaller than the sum of its proper divisors (75241543680).

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

28938608640 is a wasteful number, since it uses less digits than its factorization.

28938608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 28938608640 in words is "twenty-eight billion, nine hundred thirty-eight million, six hundred eight thousand, six hundred forty".