1365434928 has 480 divisors, whose sum is σ = 4964682240. Its totient is φ = 353548800.

The previous prime is 1365434923. The next prime is 1365434933. The reversal of 1365434928 is 8294345631.

1365434928 is a `hidden beast` number, since 13 + 6 + 543 + 4 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1365434923) and next prime (1365434933).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1365434921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44046273 + ... + 44046303.

It is an arithmetic number, because the mean of its divisors is an integer number (10343088).

Almost surely, 2^1365434928 is an apocalyptic number.

1365434928 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 1365434928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482341120).

1365434928 is an abundant number, since it is smaller than the sum of its proper divisors (3599247312).

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

1365434928 is a wasteful number, since it uses less digits than its factorization.

1365434928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 83 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 1365434928 is about 36951.7919457230. The cubic root of 1365434928 is about 1109.4055546096.

The spelling of 1365434928 in words is "one billion, three hundred sixty-five million, four hundred thirty-four thousand, nine hundred twenty-eight".