1008956928 has 160 divisors (see below), whose sum is σ = 3104158464. Its totient is φ = 285253632.

The previous prime is 1008956917. The next prime is 1008956941. The reversal of 1008956928 is 8296598001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1150026 + ... + 1150902.

Almost surely, 2^1008956928 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 1008956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552079232).

1008956928 is an abundant number, since it is smaller than the sum of its proper divisors (2095201536).

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

1008956928 is an equidigital number, since it uses as much as digits as its factorization.

1008956928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 1008956928 is about 31764.0823572790. The cubic root of 1008956928 is about 1002.9767726984.

It can be divided in two parts, 100 and 8956928, that added together give a triangular number (8957028 = T₄₂₃₂).

The spelling of 1008956928 in words is "one billion, eight million, nine hundred fifty-six thousand, nine hundred twenty-eight".