32896220448 has 288 divisors, whose sum is σ = 109155465216. Its totient is φ = 8489954304.

The previous prime is 32896220393. The next prime is 32896220459. The reversal of 32896220448 is 84402269823.

It is a super-2 number, since 2×32896220448² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 32896220397 and 32896220406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5334615 + ... + 5340777.

It is an arithmetic number, because the mean of its divisors is an integer number (379012032).

Almost surely, 2^32896220448 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 32896220448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54577732608).

32896220448 is an abundant number, since it is smaller than the sum of its proper divisors (76259244768).

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

32896220448 is a wasteful number, since it uses less digits than its factorization.

32896220448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6256 (or 6235 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 32896220448 in words is "thirty-two billion, eight hundred ninety-six million, two hundred twenty thousand, four hundred forty-eight".