61029328 has 40 divisors (see below), whose sum is σ = 123849216. Its totient is φ = 29097600.

The previous prime is 61029307. The next prime is 61029329. The reversal of 61029328 is 82392016.

It is a super-2 number, since 2×61029328² = 7449157752263168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 61029328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61029329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34350 + ... + 36082.

Almost surely, 2^61029328 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 61029328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61924608).

61029328 is an abundant number, since it is smaller than the sum of its proper divisors (62819888).

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

61029328 is a wasteful number, since it uses less digits than its factorization.

61029328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 61029328 is about 7812.1269830949. The cubic root of 61029328 is about 393.7127954097.

The spelling of 61029328 in words is "sixty-one million, twenty-nine thousand, three hundred twenty-eight".