83928041472 has 288 divisors, whose sum is σ = 259358168160. Its totient is φ = 23931125760.

The previous prime is 83928041471. The next prime is 83928041473. The reversal of 83928041472 is 27414082938.

It is an interprime number because it is at equal distance from previous prime (83928041471) and next prime (83928041473).

It is a super-2 number, since 2×83928041472² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (83928041471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19529628 + ... + 19533924.

It is an arithmetic number, because the mean of its divisors is an integer number (900549195).

Almost surely, 2^83928041472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83928041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129679084080).

83928041472 is an abundant number, since it is smaller than the sum of its proper divisors (175430126688).

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

83928041472 is a wasteful number, since it uses less digits than its factorization.

83928041472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 83928041472 in words is "eighty-three billion, nine hundred twenty-eight million, forty-one thousand, four hundred seventy-two".