28461987840 has 1152 divisors, whose sum is σ = 117118310400. Its totient is φ = 5839257600.

The previous prime is 28461987817. The next prime is 28461987847. The reversal of 28461987840 is 4878916482.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28461987847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 918128625 + ... + 918128655.

It is an arithmetic number, because the mean of its divisors is an integer number (101665200).

Almost surely, 2^28461987840 is an apocalyptic number.

28461987840 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 28461987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58559155200).

28461987840 is an abundant number, since it is smaller than the sum of its proper divisors (88656322560).

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

28461987840 is a wasteful number, since it uses less digits than its factorization.

28461987840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 28461987840 in words is "twenty-eight billion, four hundred sixty-one million, nine hundred eighty-seven thousand, eight hundred forty".