1536704928 has 144 divisors (see below), whose sum is σ = 4883965632. Its totient is φ = 454272000.

The previous prime is 1536704899. The next prime is 1536704947. The reversal of 1536704928 is 8294076351.

1536704928 is a `hidden beast` number, since 1 + 536 + 70 + 49 + 2 + 8 = 666.

1536704928 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1536704928² = 4722924071478970368, which contains 22 as substring.

1536704928 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123973 + ... + 135803.

It is an arithmetic number, because the mean of its divisors is an integer number (33916428).

It is a 1-persistent number, because it is pandigital, but 2⋅1536704928 = 3073409856 is not.

Almost surely, 2^1536704928 is an apocalyptic number.

1536704928 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 1536704928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441982816).

1536704928 is an abundant number, since it is smaller than the sum of its proper divisors (3347260704).

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

1536704928 is a wasteful number, since it uses less digits than its factorization.

1536704928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11899 (or 11888 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1536704928 is about 39200.8281545173. The cubic root of 1536704928 is about 1153.9761365608.

The spelling of 1536704928 in words is "one billion, five hundred thirty-six million, seven hundred four thousand, nine hundred twenty-eight".