1046521728 has 256 divisors, whose sum is σ = 3564288000. Its totient is φ = 296110080.

The previous prime is 1046521711. The next prime is 1046521747. The reversal of 1046521728 is 8271256401.

1046521728 is a `hidden beast` number, since 104 + 6 + 521 + 7 + 28 = 666.

It is a super-2 number, since 2×1046521728² = 2190415454352211968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1046521692 and 1046521701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4378633 + ... + 4378871.

It is an arithmetic number, because the mean of its divisors is an integer number (13923000).

Almost surely, 2^1046521728 is an apocalyptic number.

1046521728 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 1046521728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782144000).

1046521728 is an abundant number, since it is smaller than the sum of its proper divisors (2517766272).

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

1046521728 is a wasteful number, since it uses less digits than its factorization.

1046521728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1046521728 is about 32349.9880680040. The cubic root of 1046521728 is about 1015.2727968410.

The spelling of 1046521728 in words is "one billion, forty-six million, five hundred twenty-one thousand, seven hundred twenty-eight".