1345825728 has 168 divisors, whose sum is σ = 4180490496. Its totient is φ = 411494400.

The previous prime is 1345825721. The next prime is 1345825729. The reversal of 1345825728 is 8275285431.

1345825728 is a `hidden beast` number, since 13 + 4 + 582 + 57 + 2 + 8 = 666.

It is a super-2 number, since 2×1345825728² = 3622493780293459968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345825721) 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, 1429738 + ... + 1430678.

It is an arithmetic number, because the mean of its divisors is an integer number (24883872).

Almost surely, 2^1345825728 is an apocalyptic number.

1345825728 is a gapful number since it is divisible by the number (18) 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 1345825728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090245248).

1345825728 is an abundant number, since it is smaller than the sum of its proper divisors (2834664768).

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

1345825728 is a wasteful number, since it uses less digits than its factorization.

1345825728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1150 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 1345825728 is about 36685.4975160485. The cubic root of 1345825728 is about 1104.0691513080.

The spelling of 1345825728 in words is "one billion, three hundred forty-five million, eight hundred twenty-five thousand, seven hundred twenty-eight".