28903187507040 has 1728 divisors, whose sum is σ = 129967192922112. Its totient is φ = 5718786416640.

The previous prime is 28903187507027. The next prime is 28903187507063. The reversal of 28903187507040 is 4070578130982.

It is a happy number.

28903187507040 is a `hidden beast` number, since 2 + 8 + 90 + 3 + 1 + 8 + 7 + 507 + 0 + 40 = 666.

It is a super-2 number, since 2×28903187507040² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2121016707 + ... + 2121030333.

It is an arithmetic number, because the mean of its divisors is an integer number (75212495904).

Almost surely, 2^{28903187507040} is an apocalyptic number.

28903187507040 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 28903187507040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64983596461056).

28903187507040 is an abundant number, since it is smaller than the sum of its proper divisors (101064005415072).

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

28903187507040 is a wasteful number, since it uses less digits than its factorization.

28903187507040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13761 (or 13739 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 28903187507040 in words is "twenty-eight trillion, nine hundred three billion, one hundred eighty-seven million, five hundred seven thousand, forty".