28006938000 has 320 divisors, whose sum is σ = 101837648640. Its totient is φ = 7356096000.

The previous prime is 28006937951. The next prime is 28006938019. The reversal of 28006938000 is 83960082.

It is a super-2 number, since 2×28006938000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3614130 + ... + 3621870.

It is an arithmetic number, because the mean of its divisors is an integer number (318242652).

Almost surely, 2^28006938000 is an apocalyptic number.

28006938000 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 28006938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50918824320).

28006938000 is an abundant number, since it is smaller than the sum of its proper divisors (73830710640).

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

28006938000 is a wasteful number, since it uses less digits than its factorization.

28006938000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7840 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 28006938000 in words is "twenty-eight billion, six million, nine hundred thirty-eight thousand".