109252928 has 56 divisors (see below), whose sum is σ = 228234240. Its totient is φ = 51816960.

The previous prime is 109252919. The next prime is 109252937. The reversal of 109252928 is 829252901.

It is an interprime number because it is at equal distance from previous prime (109252919) and next prime (109252937).

It is a junction number, because it is equal to n+sod(n) for n = 109252891 and 109252900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104633 + ... + 105671.

Almost surely, 2^109252928 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 109252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114117120).

109252928 is an abundant number, since it is smaller than the sum of its proper divisors (118981312).

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

109252928 is a wasteful number, since it uses less digits than its factorization.

109252928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 109252928 is about 10452.4125444799. The cubic root of 109252928 is about 478.0548130160.

It can be divided in two parts, 1092 and 52928, that multiplied together give a triangular number (57797376 = T₁₀₇₅₁).

The spelling of 109252928 in words is "one hundred nine million, two hundred fifty-two thousand, nine hundred twenty-eight".