1353356928 has 576 divisors, whose sum is σ = 5220196800. Its totient is φ = 328458240.

The previous prime is 1353356899. The next prime is 1353356933. The reversal of 1353356928 is 8296533531.

It is a happy number.

1353356928 is a `hidden beast` number, since 1 + 35 + 33 + 569 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18539100 + ... + 18539172.

Almost surely, 2^1353356928 is an apocalyptic number.

1353356928 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 1353356928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610098400).

1353356928 is an abundant number, since it is smaller than the sum of its proper divisors (3866839872).

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

1353356928 is a wasteful number, since it uses less digits than its factorization.

1353356928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 1353356928 is about 36787.9997825378. Note that the first 3 decimals coincide. The cubic root of 1353356928 is about 1106.1247675147.

It can be divided in two parts, 1353 and 356928, that added together give a triangular number (358281 = T₈₄₆).

The spelling of 1353356928 in words is "one billion, three hundred fifty-three million, three hundred fifty-six thousand, nine hundred twenty-eight".