1328037440 has 56 divisors (see below), whose sum is σ = 3181453632. Its totient is φ = 528012800.

The previous prime is 1328037421. The next prime is 1328037461. The reversal of 1328037440 is 447308231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1328037397 and 1328037406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41015 + ... + 65865.

It is an arithmetic number, because the mean of its divisors is an integer number (56811672).

Almost surely, 2^1328037440 is an apocalyptic number.

1328037440 is a gapful number since it is divisible by the number (10) 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 1328037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590726816).

1328037440 is an abundant number, since it is smaller than the sum of its proper divisors (1853416192).

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

1328037440 is a wasteful number, since it uses less digits than its factorization.

1328037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25035 (or 25025 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 1328037440 is about 36442.2480096934. The cubic root of 1328037440 is about 1099.1832614989.

The spelling of 1328037440 in words is "one billion, three hundred twenty-eight million, thirty-seven thousand, four hundred forty".