153036828 has 144 divisors (see below), whose sum is σ = 468948480. Its totient is φ = 41150592.

The previous prime is 153036797. The next prime is 153036833. The reversal of 153036828 is 828630351.

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 = 153036792 and 153036801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314001 + ... + 314487.

Almost surely, 2^153036828 is an apocalyptic number.

153036828 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 153036828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234474240).

153036828 is an abundant number, since it is smaller than the sum of its proper divisors (315911652).

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

153036828 is a wasteful number, since it uses less digits than its factorization.

153036828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 153036828 is about 12370.8054709465. The cubic root of 153036828 is about 534.8910343778.

The spelling of 153036828 in words is "one hundred fifty-three million, thirty-six thousand, eight hundred twenty-eight".