1077407828 has 48 divisors (see below), whose sum is σ = 2210947200. Its totient is φ = 449777664.

The previous prime is 1077407813. The next prime is 1077407869. The reversal of 1077407828 is 8287047701.

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 15 ways as a sum of consecutive naturals, for example, 539600 + ... + 541592.

It is an arithmetic number, because the mean of its divisors is an integer number (46061400).

Almost surely, 2^1077407828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077407828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105473600).

1077407828 is an abundant number, since it is smaller than the sum of its proper divisors (1133539372).

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

1077407828 is a wasteful number, since it uses less digits than its factorization.

1077407828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 44.

The square root of 1077407828 is about 32823.8911160758. The cubic root of 1077407828 is about 1025.1640674907.

The spelling of 1077407828 in words is "one billion, seventy-seven million, four hundred seven thousand, eight hundred twenty-eight".