141628032 has 288 divisors, whose sum is σ = 513201780. Its totient is φ = 37158912.

The previous prime is 141628021. The next prime is 141628049. The reversal of 141628032 is 230826141.

141628032 is a `hidden beast` number, since 1 + 4 + 1 + 628 + 0 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126697536 + 14930496 = 11256^2 + 3864^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 141627987 and 141628005.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 733728 + ... + 733920.

Almost surely, 2^141628032 is an apocalyptic number.

141628032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

141628032 is the 7527-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256600890).

141628032 is an abundant number, since it is smaller than the sum of its proper divisors (371573748).

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

141628032 is a wasteful number, since it uses less digits than its factorization.

141628032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 141628032 is about 11900.7576229415. The cubic root of 141628032 is about 521.2544074296.

The spelling of 141628032 in words is "one hundred forty-one million, six hundred twenty-eight thousand, thirty-two".