5435404128 has 192 divisors, whose sum is σ = 19765347840. Its totient is φ = 1411776000.

The previous prime is 5435404123. The next prime is 5435404129. The reversal of 5435404128 is 8214045345.

It is a happy number.

5435404128 is a `hidden beast` number, since 54 + 3 + 540 + 41 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5435404092 and 5435404101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5435404123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25678 + ... + 107378.

It is an arithmetic number, because the mean of its divisors is an integer number (102944520).

Almost surely, 2^5435404128 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 5435404128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9882673920).

5435404128 is an abundant number, since it is smaller than the sum of its proper divisors (14329943712).

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

5435404128 is a wasteful number, since it uses less digits than its factorization.

5435404128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81738 (or 81724 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5435404128 is about 73725.1933059521. The cubic root of 5435404128 is about 1758.2364531864.

The spelling of 5435404128 in words is "five billion, four hundred thirty-five million, four hundred four thousand, one hundred twenty-eight".