1101828420 has 480 divisors, whose sum is σ = 4404508416. Its totient is φ = 225815040.

The previous prime is 1101828401. The next prime is 1101828433. The reversal of 1101828420 is 248281011.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 15093504 + ... + 15093576.

Almost surely, 2^1101828420 is an apocalyptic number.

1101828420 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 1101828420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202254208).

1101828420 is an abundant number, since it is smaller than the sum of its proper divisors (3302679996).

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

1101828420 is a wasteful number, since it uses less digits than its factorization.

1101828420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1101828420 is about 33193.8009272816. The cubic root of 1101828420 is about 1032.8517508518.

The spelling of 1101828420 in words is "one billion, one hundred one million, eight hundred twenty-eight thousand, four hundred twenty".