28742208000 has 640 divisors, whose sum is σ = 107855953920. Its totient is φ = 6727680000.

The previous prime is 28742207917. The next prime is 28742208041. The reversal of 28742208000 is 80224782.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×28742208000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65471781 + ... + 65472219.

It is an arithmetic number, because the mean of its divisors is an integer number (168524928).

Almost surely, 2^28742208000 is an apocalyptic number.

28742208000 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 28742208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53927976960).

28742208000 is an abundant number, since it is smaller than the sum of its proper divisors (79113745920).

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

28742208000 is a wasteful number, since it uses less digits than its factorization.

28742208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 28742208000 in words is "twenty-eight billion, seven hundred forty-two million, two hundred eight thousand".