1010428632 has 48 divisors (see below), whose sum is σ = 2824860480. Its totient is φ = 325944000.

The previous prime is 1010428537. The next prime is 1010428633. The reversal of 1010428632 is 2368240101.

1010428632 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 4 + 28 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1010428596 and 1010428605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010428633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224119 + ... + 228582.

It is an arithmetic number, because the mean of its divisors is an integer number (58851260).

Almost surely, 2^1010428632 is an apocalyptic number.

1010428632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010428632 is an abundant number, since it is smaller than the sum of its proper divisors (1814431848).

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

1010428632 is a wasteful number, since it uses less digits than its factorization.

1010428632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452744 (or 452737 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1010428632 is about 31787.2400815170. The cubic root of 1010428632 is about 1003.4641961541.

Adding to 1010428632 its reverse (2368240101), we get a palindrome (3378668733).

The spelling of 1010428632 in words is "one billion, ten million, four hundred twenty-eight thousand, six hundred thirty-two".