28025259840 has 336 divisors, whose sum is σ = 100651299840. Its totient is φ = 7149035520.

The previous prime is 28025259827. The next prime is 28025259851. The reversal of 28025259840 is 4895252082.

28025259840 is a `hidden beast` number, since 2 + 8 + 0 + 2 + 52 + 598 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7944157 + ... + 7947683.

It is an arithmetic number, because the mean of its divisors is an integer number (299557440).

Almost surely, 2^28025259840 is an apocalyptic number.

28025259840 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 28025259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50325649920).

28025259840 is an abundant number, since it is smaller than the sum of its proper divisors (72626040000).

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

28025259840 is a wasteful number, since it uses less digits than its factorization.

28025259840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 28025259840 in words is "twenty-eight billion, twenty-five million, two hundred fifty-nine thousand, eight hundred forty".