1011828672 has 112 divisors (see below), whose sum is σ = 3011728800. Its totient is φ = 337229568.

The previous prime is 1011828659. The next prime is 1011828703. The reversal of 1011828672 is 2768281101.

1011828672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1011828672² = 2047594522962567168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136354 + ... + 143582.

Almost surely, 2^1011828672 is an apocalyptic number.

1011828672 is a gapful number since it is divisible by the number (12) 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 1011828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505864400).

1011828672 is an abundant number, since it is smaller than the sum of its proper divisors (1999900128).

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

1011828672 is an frugal number, since it uses more digits than its factorization.

1011828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262 (or 7234 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1011828672 is about 31809.2545024243. The cubic root of 1011828672 is about 1003.9274456440.

The spelling of 1011828672 in words is "one billion, eleven million, eight hundred twenty-eight thousand, six hundred seventy-two".