151829028 has 72 divisors (see below), whose sum is σ = 414814400. Its totient is φ = 46547136.

The previous prime is 151829021. The next prime is 151829033. The reversal of 151829028 is 820928151.

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 = 151828983 and 151829001.

It is not an unprimeable number, because it can be changed into a prime (151829021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205083 + ... + 205821.

Almost surely, 2^151829028 is an apocalyptic number.

151829028 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 151829028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207407200).

151829028 is an abundant number, since it is smaller than the sum of its proper divisors (262985372).

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

151829028 is a wasteful number, since it uses less digits than its factorization.

151829028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 151829028 is about 12321.8922248168. The cubic root of 151829028 is about 533.4801573194.

The spelling of 151829028 in words is "one hundred fifty-one million, eight hundred twenty-nine thousand, twenty-eight".