10772928 has 84 divisors (see below), whose sum is σ = 31501080. Its totient is φ = 3518976.

The previous prime is 10772899. The next prime is 10772929. The reversal of 10772928 is 82927701.

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 = 10772892 and 10772901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10772929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33826 + ... + 34142.

Almost surely, 2^10772928 is an apocalyptic number.

10772928 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 10772928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750540).

10772928 is an abundant number, since it is smaller than the sum of its proper divisors (20728152).

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

10772928 is a wasteful number, since it uses less digits than its factorization.

10772928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 10772928 is about 3282.2138869976. The cubic root of 10772928 is about 220.8570426029.

It can be divided in two parts, 1077 and 2928, that added together give a triangular number (4005 = T₈₉).

The spelling of 10772928 in words is "ten million, seven hundred seventy-two thousand, nine hundred twenty-eight".