1605402828 has 72 divisors (see below), whose sum is σ = 4344238080. Its totient is φ = 517862160.

The previous prime is 1605402823. The next prime is 1605402863. The reversal of 1605402828 is 8282045061.

1605402828 is a `hidden beast` number, since 1 + 605 + 4 + 0 + 28 + 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 = 1605402792 and 1605402801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1605402823) 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, 3493 + ... + 56771.

It is an arithmetic number, because the mean of its divisors is an integer number (60336640).

Almost surely, 2^1605402828 is an apocalyptic number.

1605402828 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 1605402828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172119040).

1605402828 is an abundant number, since it is smaller than the sum of its proper divisors (2738835252).

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

1605402828 is a wasteful number, since it uses less digits than its factorization.

1605402828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53329 (or 53315 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1605402828 is about 40067.4784332631. The cubic root of 1605402828 is about 1170.9221132997.

Adding to 1605402828 its reverse (8282045061), we get a palindrome (9887447889).

The spelling of 1605402828 in words is "one billion, six hundred five million, four hundred two thousand, eight hundred twenty-eight".