32283492192 has 480 divisors, whose sum is σ = 117352730880. Its totient is φ = 8498856960.

The previous prime is 32283492191. The next prime is 32283492203. The reversal of 32283492192 is 29129438223.

It is a super-2 number, since 2×32283492192² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32283492191) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12753967 + ... + 12756497.

It is an arithmetic number, because the mean of its divisors is an integer number (244484856).

Almost surely, 2^32283492192 is an apocalyptic number.

32283492192 is a gapful number since it is divisible by the number (32) 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 32283492192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58676365440).

32283492192 is an abundant number, since it is smaller than the sum of its proper divisors (85069238688).

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

32283492192 is a wasteful number, since it uses less digits than its factorization.

32283492192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2599 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 32283492192 in words is "thirty-two billion, two hundred eighty-three million, four hundred ninety-two thousand, one hundred ninety-two".