28025628001680 has 640 divisors, whose sum is σ = 99261846835200. Its totient is φ = 6496660684800.

The previous prime is 28025628001603. The next prime is 28025628001741. The reversal of 28025628001680 is 8610082652082.

It is a happy number.

It is a super-2 number, since 2×28025628001680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7535794861 + ... + 7535798579.

It is an arithmetic number, because the mean of its divisors is an integer number (155096635680).

Almost surely, 2^{28025628001680} is an apocalyptic number.

28025628001680 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 28025628001680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49630923417600).

28025628001680 is an abundant number, since it is smaller than the sum of its proper divisors (71236218833520).

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

28025628001680 is a wasteful number, since it uses less digits than its factorization.

28025628001680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183 (or 6177 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 28025628001680 in words is "twenty-eight trillion, twenty-five billion, six hundred twenty-eight million, one thousand, six hundred eighty".