130892328 has 192 divisors, whose sum is σ = 430920000. Its totient is φ = 36699264.

The previous prime is 130892327. The next prime is 130892353. The reversal of 130892328 is 823298031.

It is a happy number.

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 = 130892292 and 130892301.

It is not an unprimeable number, because it can be changed into a prime (130892327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 878398 + ... + 878546.

It is an arithmetic number, because the mean of its divisors is an integer number (2244375).

Almost surely, 2^130892328 is an apocalyptic number.

130892328 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 130892328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215460000).

130892328 is an abundant number, since it is smaller than the sum of its proper divisors (300027672).

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

130892328 is a wasteful number, since it uses less digits than its factorization.

130892328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 130892328 is about 11440.8185021877. The cubic root of 130892328 is about 507.7361247624.

It can be divided in two parts, 1308 and 92328, that added together give a square (93636 = 306²).

The spelling of 130892328 in words is "one hundred thirty million, eight hundred ninety-two thousand, three hundred twenty-eight".