28932321264 has 240 divisors, whose sum is σ = 96154202880. Its totient is φ = 7411461120.

The previous prime is 28932321247. The next prime is 28932321281. The reversal of 28932321264 is 46212323982.

It is an interprime number because it is at equal distance from previous prime (28932321247) and next prime (28932321281).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1880997 + ... + 1896315.

It is an arithmetic number, because the mean of its divisors is an integer number (400642512).

Almost surely, 2^28932321264 is an apocalyptic number.

28932321264 is a gapful number since it is divisible by the number (24) 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 28932321264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48077101440).

28932321264 is an abundant number, since it is smaller than the sum of its proper divisors (67221881616).

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

28932321264 is a wasteful number, since it uses less digits than its factorization.

28932321264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15428 (or 15415 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The spelling of 28932321264 in words is "twenty-eight billion, nine hundred thirty-two million, three hundred twenty-one thousand, two hundred sixty-four".