1048928000 has 72 divisors (see below), whose sum is σ = 2613090480. Its totient is φ = 419558400.

The previous prime is 1048927991. The next prime is 1048928009. The reversal of 1048928000 is 8298401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1048927991) and next prime (1048928009).

It is a super-2 number, since 2×1048928000² = 2200499898368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048928009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15611 + ... + 48389.

Almost surely, 2^1048928000 is an apocalyptic number.

1048928000 is a gapful number since it is divisible by the number (10) 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 1048928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306545240).

1048928000 is an abundant number, since it is smaller than the sum of its proper divisors (1564162480).

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

1048928000 is an frugal number, since it uses more digits than its factorization.

1048928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32810 (or 32786 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1048928000 is about 32387.1579487920. The cubic root of 1048928000 is about 1016.0503416063.

The spelling of 1048928000 in words is "one billion, forty-eight million, nine hundred twenty-eight thousand".