1007244828 has 48 divisors (see below), whose sum is σ = 2636757760. Its totient is φ = 332484912.

The previous prime is 1007244811. The next prime is 1007244829. The reversal of 1007244828 is 8284427001.

1007244828 is a `hidden beast` number, since 100 + 72 + 4 + 482 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1007244792 and 1007244801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007244829) by changing a digit.

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, 34150 + ... + 56397.

Almost surely, 2^1007244828 is an apocalyptic number.

1007244828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1007244828 is an abundant number, since it is smaller than the sum of its proper divisors (1629512932).

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

1007244828 is a wasteful number, since it uses less digits than its factorization.

1007244828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90663 (or 90655 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1007244828 is about 31737.1206633494. The cubic root of 1007244828 is about 1002.4091340788.

The spelling of 1007244828 in words is "one billion, seven million, two hundred forty-four thousand, eight hundred twenty-eight".