28190399328 has 1152 divisors, whose sum is σ = 114672983040. Its totient is φ = 6642155520.

The previous prime is 28190399323. The next prime is 28190399383. The reversal of 28190399328 is 82399309182.

28190399328 is a `hidden beast` number, since 281 + 9 + 0 + 39 + 9 + 328 = 666.

It is a super-2 number, since 2×28190399328² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28190399323) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 215193823 + ... + 215193953.

It is an arithmetic number, because the mean of its divisors is an integer number (99542520).

Almost surely, 2^28190399328 is an apocalyptic number.

28190399328 is a gapful number since it is divisible by the number (28) 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 28190399328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57336491520).

28190399328 is an abundant number, since it is smaller than the sum of its proper divisors (86482583712).

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

28190399328 is a wasteful number, since it uses less digits than its factorization.

28190399328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 28190399328 in words is "twenty-eight billion, one hundred ninety million, three hundred ninety-nine thousand, three hundred twenty-eight".