9388028628000 has 1440 divisors, whose sum is σ = 38553436905984. Its totient is φ = 2218959360000.

The previous prime is 9388028627993. The next prime is 9388028628007. The reversal of 9388028628000 is 8268208839.

9388028628000 is a `hidden beast` number, since 9 + 3 + 8 + 8 + 0 + 2 + 8 + 628 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9388028627993) and next prime (9388028628007).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×9388028628000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9388028628007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5991083217 + ... + 5991084783.

Almost surely, 2^{9388028628000} is an apocalyptic number.

9388028628000 is a gapful number since it is divisible by the number (90) 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 9388028628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19276718452992).

9388028628000 is an abundant number, since it is smaller than the sum of its proper divisors (29165408277984).

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

9388028628000 is a wasteful number, since it uses less digits than its factorization.

9388028628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 9388028628000 in words is "nine trillion, three hundred eighty-eight billion, twenty-eight million, six hundred twenty-eight thousand".