2153628 has 90 divisors (see below), whose sum is σ = 6240696. Its totient is φ = 646272.

The previous prime is 2153621. The next prime is 2153633. The reversal of 2153628 is 8263512.

2153628 = 3⁴ + 4⁴ + ... + 25⁴.

It is a super-2 number, since 2×2153628² = 9276227124768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2880) is a multiple of the sum of its prime divisors (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153621) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 93625 + ... + 93647.

2^2153628 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 2153628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120348).

2153628 is an abundant number, since it is smaller than the sum of its proper divisors (4087068).

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

2153628 is a wasteful number, since it uses less digits than its factorization.

2153628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 45 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2153628 is about 1467.5244461337. The cubic root of 2153628 is about 129.1388445568.

The spelling of 2153628 in words is "two million, one hundred fifty-three thousand, six hundred twenty-eight".