28628313726000 has 640 divisors, whose sum is σ = 99982469283840. Its totient is φ = 7024328064000.

The previous prime is 28628313725983. The next prime is 28628313726043. The reversal of 28628313726000 is 62731382682.

It is a happy number.

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, 701877607 + ... + 701918393.

It is an arithmetic number, because the mean of its divisors is an integer number (156222608256).

Almost surely, 2^{28628313726000} is an apocalyptic number.

28628313726000 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 28628313726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49991234641920).

28628313726000 is an abundant number, since it is smaller than the sum of its proper divisors (71354155557840).

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

28628313726000 is a wasteful number, since it uses less digits than its factorization.

28628313726000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41010 (or 40994 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 28628313726000 in words is "twenty-eight trillion, six hundred twenty-eight billion, three hundred thirteen million, seven hundred twenty-six thousand".