1522009728 has 384 divisors, whose sum is σ = 5040921600. Its totient is φ = 437944320.

The previous prime is 1522009691. The next prime is 1522009733. The reversal of 1522009728 is 8279002251.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1522009728² = 4633027224253267968, which contains 22 as substring.

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 = 1522009692 and 1522009701.

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 47 ways as a sum of consecutive naturals, for example, 13963338 + ... + 13963446.

It is an arithmetic number, because the mean of its divisors is an integer number (13127400).

Almost surely, 2^1522009728 is an apocalyptic number.

1522009728 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 1522009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520460800).

1522009728 is an abundant number, since it is smaller than the sum of its proper divisors (3518911872).

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

1522009728 is a wasteful number, since it uses less digits than its factorization.

1522009728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1522009728 is about 39012.9430830334. The cubic root of 1522009728 is about 1150.2859346967.

The spelling of 1522009728 in words is "one billion, five hundred twenty-two million, nine thousand, seven hundred twenty-eight".