16228128000 has 1152 divisors, whose sum is σ = 68568514560. Its totient is φ = 3317760000.

The previous prime is 16228127999. The next prime is 16228128001. The reversal of 16228128000 is 82182261.

It is an interprime number because it is at equal distance from previous prime (16228127999) and next prime (16228128001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16228128001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 395807980 + ... + 395808020.

It is an arithmetic number, because the mean of its divisors is an integer number (59521280).

Almost surely, 2^16228128000 is an apocalyptic number.

16228128000 is a gapful number since it is divisible by the number (10) 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 16228128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34284257280).

16228128000 is an abundant number, since it is smaller than the sum of its proper divisors (52340386560).

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

16228128000 is a wasteful number, since it uses less digits than its factorization.

16228128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 16228128000 in words is "sixteen billion, two hundred twenty-eight million, one hundred twenty-eight thousand".