1007828011 has 8 divisors (see below), whose sum is σ = 1065714048. Its totient is φ = 951528000.

The previous prime is 1007827993. The next prime is 1007828021. The reversal of 1007828011 is 1108287001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1007828011 - 2¹⁹ = 1007303723 is a prime.

It is a super-2 number, since 2×1007828011² = 2031434599512432242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007828021) 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, 395200 + ... + 397741.

It is an arithmetic number, because the mean of its divisors is an integer number (133214256).

Almost surely, 2^1007828011 is an apocalyptic number.

1007828011 is a deficient number, since it is larger than the sum of its proper divisors (57886037).

1007828011 is an equidigital number, since it uses as much as digits as its factorization.

1007828011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793013.

The product of its (nonzero) digits is 896, while the sum is 28.

The square root of 1007828011 is about 31746.3070450722. The cubic root of 1007828011 is about 1002.6025578168.

The spelling of 1007828011 in words is "one billion, seven million, eight hundred twenty-eight thousand, eleven".