1011356928 has 360 divisors, whose sum is σ = 3383392320. Its totient is φ = 298598400.

The previous prime is 1011356921. The next prime is 1011356939. The reversal of 1011356928 is 8296531101.

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 = 1011356892 and 1011356901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011356921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6697653 + ... + 6697803.

It is an arithmetic number, because the mean of its divisors is an integer number (9398312).

Almost surely, 2^1011356928 is an apocalyptic number.

1011356928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011356928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691696160).

1011356928 is an abundant number, since it is smaller than the sum of its proper divisors (2372035392).

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

1011356928 is a wasteful number, since it uses less digits than its factorization.

1011356928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1011356928 is about 31801.8384374237. The cubic root of 1011356928 is about 1003.7714013180.

The spelling of 1011356928 in words is "one billion, eleven million, three hundred fifty-six thousand, nine hundred twenty-eight".